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Simplifying 4(2x + -3) + 8(x + -4) = 2(2x + 6) * fraction Reorder the terms: 4(-3 + 2x) + 8(x + -4) = 2(2x + 6) * fraction (-3 * 4 + 2x * 4) + 8(x + -4) = 2(2x + 6) * fraction (-12 + 8x) + 8(x + -4) = 2(2x + 6) * fraction Reorder the terms: -12 + 8x + 8(-4 + x) = 2(2x + 6) * fraction -12 + 8x + (-4 * 8 + x * 8) = 2(2x + 6) * fraction -12 + 8x + (-32 + 8x) = 2(2x + 6) * fraction Reorder the terms: -12 + -32 + 8x + 8x = 2(2x + 6) * fraction Combine like terms: -12 + -32 = -44 -44 + 8x + 8x = 2(2x + 6) * fraction Combine like terms: 8x + 8x = 16x -44 + 16x = 2(2x + 6) * fraction Reorder the terms: -44 + 16x = 2(6 + 2x) * fraction Reorder the terms for easier multiplication: -44 + 16x = 2acfinort(6 + 2x) -44 + 16x = (6 * 2acfinort + 2x * 2acfinort) -44 + 16x = (12acfinort + 4acfinortx) Solving -44 + 16x = 12acfinort + 4acfinortx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4acfinortx' to each side of the equation. -44 + -4acfinortx + 16x = 12acfinort + 4acfinortx + -4acfinortx Combine like terms: 4acfinortx + -4acfinortx = 0 -44 + -4acfinortx + 16x = 12acfinort + 0 -44 + -4acfinortx + 16x = 12acfinort Add '44' to each side of the equation. -44 + -4acfinortx + 44 + 16x = 44 + 12acfinort Reorder the terms: -44 + 44 + -4acfinortx + 16x = 44 + 12acfinort Combine like terms: -44 + 44 = 0 0 + -4acfinortx + 16x = 44 + 12acfinort -4acfinortx + 16x = 44 + 12acfinort Reorder the terms: -44 + -12acfinort + -4acfinortx + 16x = 44 + 12acfinort + -44 + -12acfinort Reorder the terms: -44 + -12acfinort + -4acfinortx + 16x = 44 + -44 + 12acfinort + -12acfinort Combine like terms: 44 + -44 = 0 -44 + -12acfinort + -4acfinortx + 16x = 0 + 12acfinort + -12acfinort -44 + -12acfinort + -4acfinortx + 16x = 12acfinort + -12acfinort Combine like terms: 12acfinort + -12acfinort = 0 -44 + -12acfinort + -4acfinortx + 16x = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-11 + -3acfinort + -1acfinortx + 4x) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-11 + -3acfinort + -1acfinortx + 4x)' equal to zero and attempt to solve: Simplifying -11 + -3acfinort + -1acfinortx + 4x = 0 Solving -11 + -3acfinort + -1acfinortx + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + -3acfinort + -1acfinortx + 11 + 4x = 0 + 11 Reorder the terms: -11 + 11 + -3acfinort + -1acfinortx + 4x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -3acfinort + -1acfinortx + 4x = 0 + 11 -3acfinort + -1acfinortx + 4x = 0 + 11 Combine like terms: 0 + 11 = 11 -3acfinort + -1acfinortx + 4x = 11 Add '3acfinort' to each side of the equation. -3acfinort + -1acfinortx + 3acfinort + 4x = 11 + 3acfinort Reorder the terms: -3acfinort + 3acfinort + -1acfinortx + 4x = 11 + 3acfinort Combine like terms: -3acfinort + 3acfinort = 0 0 + -1acfinortx + 4x = 11 + 3acfinort -1acfinortx + 4x = 11 + 3acfinort 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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