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Simplifying 7(x + -2) + 3(x + 2) = 5(x + -6) * fraction Reorder the terms: 7(-2 + x) + 3(x + 2) = 5(x + -6) * fraction (-2 * 7 + x * 7) + 3(x + 2) = 5(x + -6) * fraction (-14 + 7x) + 3(x + 2) = 5(x + -6) * fraction Reorder the terms: -14 + 7x + 3(2 + x) = 5(x + -6) * fraction -14 + 7x + (2 * 3 + x * 3) = 5(x + -6) * fraction -14 + 7x + (6 + 3x) = 5(x + -6) * fraction Reorder the terms: -14 + 6 + 7x + 3x = 5(x + -6) * fraction Combine like terms: -14 + 6 = -8 -8 + 7x + 3x = 5(x + -6) * fraction Combine like terms: 7x + 3x = 10x -8 + 10x = 5(x + -6) * fraction Reorder the terms: -8 + 10x = 5(-6 + x) * fraction Reorder the terms for easier multiplication: -8 + 10x = 5acfinort(-6 + x) -8 + 10x = (-6 * 5acfinort + x * 5acfinort) -8 + 10x = (-30acfinort + 5acfinortx) Solving -8 + 10x = -30acfinort + 5acfinortx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5acfinortx' to each side of the equation. -8 + -5acfinortx + 10x = -30acfinort + 5acfinortx + -5acfinortx Combine like terms: 5acfinortx + -5acfinortx = 0 -8 + -5acfinortx + 10x = -30acfinort + 0 -8 + -5acfinortx + 10x = -30acfinort Add '8' to each side of the equation. -8 + -5acfinortx + 8 + 10x = 8 + -30acfinort Reorder the terms: -8 + 8 + -5acfinortx + 10x = 8 + -30acfinort Combine like terms: -8 + 8 = 0 0 + -5acfinortx + 10x = 8 + -30acfinort -5acfinortx + 10x = 8 + -30acfinort Reorder the terms: -8 + 30acfinort + -5acfinortx + 10x = 8 + -30acfinort + -8 + 30acfinort Reorder the terms: -8 + 30acfinort + -5acfinortx + 10x = 8 + -8 + -30acfinort + 30acfinort Combine like terms: 8 + -8 = 0 -8 + 30acfinort + -5acfinortx + 10x = 0 + -30acfinort + 30acfinort -8 + 30acfinort + -5acfinortx + 10x = -30acfinort + 30acfinort Combine like terms: -30acfinort + 30acfinort = 0 -8 + 30acfinort + -5acfinortx + 10x = 0 The solution to this equation could not be determined.
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