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Simplifying 0.5(2x + -3) = 0.25(-1x + -1) Reorder the terms: 0.5(-3 + 2x) = 0.25(-1x + -1) (-3 * 0.5 + 2x * 0.5) = 0.25(-1x + -1) (-1.5 + 1x) = 0.25(-1x + -1) Reorder the terms: -1.5 + 1x = 0.25(-1 + -1x) -1.5 + 1x = (-1 * 0.25 + -1x * 0.25) -1.5 + 1x = (-0.25 + -0.25x) Solving -1.5 + 1x = -0.25 + -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. -1.5 + 1x + 0.25x = -0.25 + -0.25x + 0.25x Combine like terms: 1x + 0.25x = 1.25x -1.5 + 1.25x = -0.25 + -0.25x + 0.25x Combine like terms: -0.25x + 0.25x = 0.00 -1.5 + 1.25x = -0.25 + 0.00 -1.5 + 1.25x = -0.25 Add '1.5' to each side of the equation. -1.5 + 1.5 + 1.25x = -0.25 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 1.25x = -0.25 + 1.5 1.25x = -0.25 + 1.5 Combine like terms: -0.25 + 1.5 = 1.25 1.25x = 1.25 Divide each side by '1.25'. x = 1 Simplifying x = 1
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