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Simplifying -4(2x + -2) = 2(x + 4) + -1 Reorder the terms: -4(-2 + 2x) = 2(x + 4) + -1 (-2 * -4 + 2x * -4) = 2(x + 4) + -1 (8 + -8x) = 2(x + 4) + -1 Reorder the terms: 8 + -8x = 2(4 + x) + -1 8 + -8x = (4 * 2 + x * 2) + -1 8 + -8x = (8 + 2x) + -1 Reorder the terms: 8 + -8x = 8 + -1 + 2x Combine like terms: 8 + -1 = 7 8 + -8x = 7 + 2x Solving 8 + -8x = 7 + 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 = 7 + 2x + -2x Combine like terms: -8x + -2x = -10x 8 + -10x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -10x = 7 + 0 8 + -10x = 7 Add '-8' to each side of the equation. 8 + -8 + -10x = 7 + -8 Combine like terms: 8 + -8 = 0 0 + -10x = 7 + -8 -10x = 7 + -8 Combine like terms: 7 + -8 = -1 -10x = -1 Divide each side by '-10'. x = 0.1 Simplifying x = 0.1
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