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Simplifying -8(x + -1) = 2x + 38 Reorder the terms: -8(-1 + x) = 2x + 38 (-1 * -8 + x * -8) = 2x + 38 (8 + -8x) = 2x + 38 Reorder the terms: 8 + -8x = 38 + 2x Solving 8 + -8x = 38 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + -8x + -2x = 38 + 2x + -2x Combine like terms: -8x + -2x = -10x 8 + -10x = 38 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -10x = 38 + 0 8 + -10x = 38 Add '-8' to each side of the equation. 8 + -8 + -10x = 38 + -8 Combine like terms: 8 + -8 = 0 0 + -10x = 38 + -8 -10x = 38 + -8 Combine like terms: 38 + -8 = 30 -10x = 30 Divide each side by '-10'. x = -3 Simplifying x = -3
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