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Simplifying 7(x + -1) = 3x + 9 + -2(-6x + -1) * fraction Reorder the terms: 7(-1 + x) = 3x + 9 + -2(-6x + -1) * fraction (-1 * 7 + x * 7) = 3x + 9 + -2(-6x + -1) * fraction (-7 + 7x) = 3x + 9 + -2(-6x + -1) * fraction Reorder the terms: -7 + 7x = 3x + 9 + -2(-1 + -6x) * fraction Reorder the terms for easier multiplication: -7 + 7x = 3x + 9 + -2acfinort(-1 + -6x) -7 + 7x = 3x + 9 + (-1 * -2acfinort + -6x * -2acfinort) -7 + 7x = 3x + 9 + (2acfinort + 12acfinortx) Reorder the terms: -7 + 7x = 9 + 2acfinort + 12acfinortx + 3x Solving -7 + 7x = 9 + 2acfinort + 12acfinortx + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12acfinortx' to each side of the equation. -7 + -12acfinortx + 7x = 9 + 2acfinort + 12acfinortx + -12acfinortx + 3x Combine like terms: 12acfinortx + -12acfinortx = 0 -7 + -12acfinortx + 7x = 9 + 2acfinort + 0 + 3x -7 + -12acfinortx + 7x = 9 + 2acfinort + 3x Add '-3x' to each side of the equation. -7 + -12acfinortx + 7x + -3x = 9 + 2acfinort + 3x + -3x Combine like terms: 7x + -3x = 4x -7 + -12acfinortx + 4x = 9 + 2acfinort + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + -12acfinortx + 4x = 9 + 2acfinort + 0 -7 + -12acfinortx + 4x = 9 + 2acfinort Add '7' to each side of the equation. -7 + -12acfinortx + 7 + 4x = 9 + 7 + 2acfinort Reorder the terms: -7 + 7 + -12acfinortx + 4x = 9 + 7 + 2acfinort Combine like terms: -7 + 7 = 0 0 + -12acfinortx + 4x = 9 + 7 + 2acfinort -12acfinortx + 4x = 9 + 7 + 2acfinort Combine like terms: 9 + 7 = 16 -12acfinortx + 4x = 16 + 2acfinort Reorder the terms: -16 + -2acfinort + -12acfinortx + 4x = 16 + 2acfinort + -16 + -2acfinort Reorder the terms: -16 + -2acfinort + -12acfinortx + 4x = 16 + -16 + 2acfinort + -2acfinort Combine like terms: 16 + -16 = 0 -16 + -2acfinort + -12acfinortx + 4x = 0 + 2acfinort + -2acfinort -16 + -2acfinort + -12acfinortx + 4x = 2acfinort + -2acfinort Combine like terms: 2acfinort + -2acfinort = 0 -16 + -2acfinort + -12acfinortx + 4x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-8 + -1acfinort + -6acfinortx + 2x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-8 + -1acfinort + -6acfinortx + 2x)' equal to zero and attempt to solve: Simplifying -8 + -1acfinort + -6acfinortx + 2x = 0 Solving -8 + -1acfinort + -6acfinortx + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -1acfinort + -6acfinortx + 8 + 2x = 0 + 8 Reorder the terms: -8 + 8 + -1acfinort + -6acfinortx + 2x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1acfinort + -6acfinortx + 2x = 0 + 8 -1acfinort + -6acfinortx + 2x = 0 + 8 Combine like terms: 0 + 8 = 8 -1acfinort + -6acfinortx + 2x = 8 Add 'acfinort' to each side of the equation. -1acfinort + -6acfinortx + acfinort + 2x = 8 + acfinort Reorder the terms: -1acfinort + acfinort + -6acfinortx + 2x = 8 + acfinort Combine like terms: -1acfinort + acfinort = 0 0 + -6acfinortx + 2x = 8 + acfinort -6acfinortx + 2x = 8 + acfinort The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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