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Simplifying 4(2x + -5) = -2(1 + -1x) Reorder the terms: 4(-5 + 2x) = -2(1 + -1x) (-5 * 4 + 2x * 4) = -2(1 + -1x) (-20 + 8x) = -2(1 + -1x) -20 + 8x = (1 * -2 + -1x * -2) -20 + 8x = (-2 + 2x) Solving -20 + 8x = -2 + 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. -20 + 8x + -2x = -2 + 2x + -2x Combine like terms: 8x + -2x = 6x -20 + 6x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + 6x = -2 + 0 -20 + 6x = -2 Add '20' to each side of the equation. -20 + 20 + 6x = -2 + 20 Combine like terms: -20 + 20 = 0 0 + 6x = -2 + 20 6x = -2 + 20 Combine like terms: -2 + 20 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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