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Simplifying x + -2.5(2x + -1) = x + -1.5 Reorder the terms: x + -2.5(-1 + 2x) = x + -1.5 x + (-1 * -2.5 + 2x * -2.5) = x + -1.5 x + (2.5 + -5x) = x + -1.5 Reorder the terms: 2.5 + x + -5x = x + -1.5 Combine like terms: x + -5x = -4x 2.5 + -4x = x + -1.5 Reorder the terms: 2.5 + -4x = -1.5 + x Solving 2.5 + -4x = -1.5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 2.5 + -4x + -1x = -1.5 + x + -1x Combine like terms: -4x + -1x = -5x 2.5 + -5x = -1.5 + x + -1x Combine like terms: x + -1x = 0 2.5 + -5x = -1.5 + 0 2.5 + -5x = -1.5 Add '-2.5' to each side of the equation. 2.5 + -2.5 + -5x = -1.5 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -5x = -1.5 + -2.5 -5x = -1.5 + -2.5 Combine like terms: -1.5 + -2.5 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8
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