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Simplifying 0.25(4x + 1) = -0.5(2x + -1) Reorder the terms: 0.25(1 + 4x) = -0.5(2x + -1) (1 * 0.25 + 4x * 0.25) = -0.5(2x + -1) (0.25 + 1x) = -0.5(2x + -1) Reorder the terms: 0.25 + 1x = -0.5(-1 + 2x) 0.25 + 1x = (-1 * -0.5 + 2x * -0.5) 0.25 + 1x = (0.5 + -1x) Solving 0.25 + 1x = 0.5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 0.25 + 1x + x = 0.5 + -1x + x Combine like terms: 1x + x = 2x 0.25 + 2x = 0.5 + -1x + x Combine like terms: -1x + x = 0 0.25 + 2x = 0.5 + 0 0.25 + 2x = 0.5 Add '-0.25' to each side of the equation. 0.25 + -0.25 + 2x = 0.5 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + 2x = 0.5 + -0.25 2x = 0.5 + -0.25 Combine like terms: 0.5 + -0.25 = 0.25 2x = 0.25 Divide each side by '2'. x = 0.125 Simplifying x = 0.125
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