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Simplifying -2(x + -7) + -8 = 3(1 + -4x) + -7 Reorder the terms: -2(-7 + x) + -8 = 3(1 + -4x) + -7 (-7 * -2 + x * -2) + -8 = 3(1 + -4x) + -7 (14 + -2x) + -8 = 3(1 + -4x) + -7 Reorder the terms: 14 + -8 + -2x = 3(1 + -4x) + -7 Combine like terms: 14 + -8 = 6 6 + -2x = 3(1 + -4x) + -7 6 + -2x = (1 * 3 + -4x * 3) + -7 6 + -2x = (3 + -12x) + -7 Reorder the terms: 6 + -2x = 3 + -7 + -12x Combine like terms: 3 + -7 = -4 6 + -2x = -4 + -12x Solving 6 + -2x = -4 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 6 + -2x + 12x = -4 + -12x + 12x Combine like terms: -2x + 12x = 10x 6 + 10x = -4 + -12x + 12x Combine like terms: -12x + 12x = 0 6 + 10x = -4 + 0 6 + 10x = -4 Add '-6' to each side of the equation. 6 + -6 + 10x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + 10x = -4 + -6 10x = -4 + -6 Combine like terms: -4 + -6 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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