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Simplifying 0.25 + -0.5(x + -3) = -0.25(5 + -1x) Reorder the terms: 0.25 + -0.5(-3 + x) = -0.25(5 + -1x) 0.25 + (-3 * -0.5 + x * -0.5) = -0.25(5 + -1x) 0.25 + (1.5 + -0.5x) = -0.25(5 + -1x) Combine like terms: 0.25 + 1.5 = 1.75 1.75 + -0.5x = -0.25(5 + -1x) 1.75 + -0.5x = (5 * -0.25 + -1x * -0.25) 1.75 + -0.5x = (-1.25 + 0.25x) Solving 1.75 + -0.5x = -1.25 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. 1.75 + -0.5x + -0.25x = -1.25 + 0.25x + -0.25x Combine like terms: -0.5x + -0.25x = -0.75x 1.75 + -0.75x = -1.25 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 1.75 + -0.75x = -1.25 + 0.00 1.75 + -0.75x = -1.25 Add '-1.75' to each side of the equation. 1.75 + -1.75 + -0.75x = -1.25 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + -0.75x = -1.25 + -1.75 -0.75x = -1.25 + -1.75 Combine like terms: -1.25 + -1.75 = -3 -0.75x = -3 Divide each side by '-0.75'. x = 4 Simplifying x = 4
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