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Simplifying -2(4x + 2) = -5[1 + 2(x + -1)] Reorder the terms: -2(2 + 4x) = -5[1 + 2(x + -1)] (2 * -2 + 4x * -2) = -5[1 + 2(x + -1)] (-4 + -8x) = -5[1 + 2(x + -1)] Reorder the terms: -4 + -8x = -5[1 + 2(-1 + x)] -4 + -8x = -5[1 + (-1 * 2 + x * 2)] -4 + -8x = -5[1 + (-2 + 2x)] Combine like terms: 1 + -2 = -1 -4 + -8x = -5[-1 + 2x] -4 + -8x = [-1 * -5 + 2x * -5] -4 + -8x = [5 + -10x] Solving -4 + -8x = 5 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -4 + -8x + 10x = 5 + -10x + 10x Combine like terms: -8x + 10x = 2x -4 + 2x = 5 + -10x + 10x Combine like terms: -10x + 10x = 0 -4 + 2x = 5 + 0 -4 + 2x = 5 Add '4' to each side of the equation. -4 + 4 + 2x = 5 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 5 + 4 2x = 5 + 4 Combine like terms: 5 + 4 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5
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