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Simplifying -4x + 8 + -6(x + -1) = -1(3x + -7) + -6x + 6 Reorder the terms: -4x + 8 + -6(-1 + x) = -1(3x + -7) + -6x + 6 -4x + 8 + (-1 * -6 + x * -6) = -1(3x + -7) + -6x + 6 -4x + 8 + (6 + -6x) = -1(3x + -7) + -6x + 6 Reorder the terms: 8 + 6 + -4x + -6x = -1(3x + -7) + -6x + 6 Combine like terms: 8 + 6 = 14 14 + -4x + -6x = -1(3x + -7) + -6x + 6 Combine like terms: -4x + -6x = -10x 14 + -10x = -1(3x + -7) + -6x + 6 Reorder the terms: 14 + -10x = -1(-7 + 3x) + -6x + 6 14 + -10x = (-7 * -1 + 3x * -1) + -6x + 6 14 + -10x = (7 + -3x) + -6x + 6 Reorder the terms: 14 + -10x = 7 + 6 + -3x + -6x Combine like terms: 7 + 6 = 13 14 + -10x = 13 + -3x + -6x Combine like terms: -3x + -6x = -9x 14 + -10x = 13 + -9x Solving 14 + -10x = 13 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 14 + -10x + 9x = 13 + -9x + 9x Combine like terms: -10x + 9x = -1x 14 + -1x = 13 + -9x + 9x Combine like terms: -9x + 9x = 0 14 + -1x = 13 + 0 14 + -1x = 13 Add '-14' to each side of the equation. 14 + -14 + -1x = 13 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 13 + -14 -1x = 13 + -14 Combine like terms: 13 + -14 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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