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Simplifying -2(-1x + -7) = 8(-3x + 5) Reorder the terms: -2(-7 + -1x) = 8(-3x + 5) (-7 * -2 + -1x * -2) = 8(-3x + 5) (14 + 2x) = 8(-3x + 5) Reorder the terms: 14 + 2x = 8(5 + -3x) 14 + 2x = (5 * 8 + -3x * 8) 14 + 2x = (40 + -24x) Solving 14 + 2x = 40 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 14 + 2x + 24x = 40 + -24x + 24x Combine like terms: 2x + 24x = 26x 14 + 26x = 40 + -24x + 24x Combine like terms: -24x + 24x = 0 14 + 26x = 40 + 0 14 + 26x = 40 Add '-14' to each side of the equation. 14 + -14 + 26x = 40 + -14 Combine like terms: 14 + -14 = 0 0 + 26x = 40 + -14 26x = 40 + -14 Combine like terms: 40 + -14 = 26 26x = 26 Divide each side by '26'. x = 1 Simplifying x = 1
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