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Simplifying 4(-2x + -1) = 2(5x + 7) Reorder the terms: 4(-1 + -2x) = 2(5x + 7) (-1 * 4 + -2x * 4) = 2(5x + 7) (-4 + -8x) = 2(5x + 7) Reorder the terms: -4 + -8x = 2(7 + 5x) -4 + -8x = (7 * 2 + 5x * 2) -4 + -8x = (14 + 10x) Solving -4 + -8x = 14 + 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 = 14 + 10x + -10x Combine like terms: -8x + -10x = -18x -4 + -18x = 14 + 10x + -10x Combine like terms: 10x + -10x = 0 -4 + -18x = 14 + 0 -4 + -18x = 14 Add '4' to each side of the equation. -4 + 4 + -18x = 14 + 4 Combine like terms: -4 + 4 = 0 0 + -18x = 14 + 4 -18x = 14 + 4 Combine like terms: 14 + 4 = 18 -18x = 18 Divide each side by '-18'. x = -1 Simplifying x = -1
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