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Simplifying -5(x + -0.5) = 5(x + 0.25) Reorder the terms: -5(-0.5 + x) = 5(x + 0.25) (-0.5 * -5 + x * -5) = 5(x + 0.25) (2.5 + -5x) = 5(x + 0.25) Reorder the terms: 2.5 + -5x = 5(0.25 + x) 2.5 + -5x = (0.25 * 5 + x * 5) 2.5 + -5x = (1.25 + 5x) Solving 2.5 + -5x = 1.25 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2.5 + -5x + -5x = 1.25 + 5x + -5x Combine like terms: -5x + -5x = -10x 2.5 + -10x = 1.25 + 5x + -5x Combine like terms: 5x + -5x = 0 2.5 + -10x = 1.25 + 0 2.5 + -10x = 1.25 Add '-2.5' to each side of the equation. 2.5 + -2.5 + -10x = 1.25 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -10x = 1.25 + -2.5 -10x = 1.25 + -2.5 Combine like terms: 1.25 + -2.5 = -1.25 -10x = -1.25 Divide each side by '-10'. x = 0.125 Simplifying x = 0.125
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