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Simplifying 1.5(0.5 + -1x) = x (0.5 * 1.5 + -1x * 1.5) = x (0.75 + -1.5x) = x Solving 0.75 + -1.5x = 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. 0.75 + -1.5x + -1x = x + -1x Combine like terms: -1.5x + -1x = -2.5x 0.75 + -2.5x = x + -1x Combine like terms: x + -1x = 0 0.75 + -2.5x = 0 Add '-0.75' to each side of the equation. 0.75 + -0.75 + -2.5x = 0 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + -2.5x = 0 + -0.75 -2.5x = 0 + -0.75 Combine like terms: 0 + -0.75 = -0.75 -2.5x = -0.75 Divide each side by '-2.5'. x = 0.3 Simplifying x = 0.3
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