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Simplifying 6(x + -2) + -7(x + 8) = 6 + -3(x + -6) Reorder the terms: 6(-2 + x) + -7(x + 8) = 6 + -3(x + -6) (-2 * 6 + x * 6) + -7(x + 8) = 6 + -3(x + -6) (-12 + 6x) + -7(x + 8) = 6 + -3(x + -6) Reorder the terms: -12 + 6x + -7(8 + x) = 6 + -3(x + -6) -12 + 6x + (8 * -7 + x * -7) = 6 + -3(x + -6) -12 + 6x + (-56 + -7x) = 6 + -3(x + -6) Reorder the terms: -12 + -56 + 6x + -7x = 6 + -3(x + -6) Combine like terms: -12 + -56 = -68 -68 + 6x + -7x = 6 + -3(x + -6) Combine like terms: 6x + -7x = -1x -68 + -1x = 6 + -3(x + -6) Reorder the terms: -68 + -1x = 6 + -3(-6 + x) -68 + -1x = 6 + (-6 * -3 + x * -3) -68 + -1x = 6 + (18 + -3x) Combine like terms: 6 + 18 = 24 -68 + -1x = 24 + -3x Solving -68 + -1x = 24 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -68 + -1x + 3x = 24 + -3x + 3x Combine like terms: -1x + 3x = 2x -68 + 2x = 24 + -3x + 3x Combine like terms: -3x + 3x = 0 -68 + 2x = 24 + 0 -68 + 2x = 24 Add '68' to each side of the equation. -68 + 68 + 2x = 24 + 68 Combine like terms: -68 + 68 = 0 0 + 2x = 24 + 68 2x = 24 + 68 Combine like terms: 24 + 68 = 92 2x = 92 Divide each side by '2'. x = 46 Simplifying x = 46
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