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Simplifying 2x + 3(1 + -0.5x) = -1x + -1.5 2x + (1 * 3 + -0.5x * 3) = -1x + -1.5 2x + (3 + -1.5x) = -1x + -1.5 Reorder the terms: 3 + 2x + -1.5x = -1x + -1.5 Combine like terms: 2x + -1.5x = 0.5x 3 + 0.5x = -1x + -1.5 Reorder the terms: 3 + 0.5x = -1.5 + -1x Solving 3 + 0.5x = -1.5 + -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. 3 + 0.5x + x = -1.5 + -1x + x Combine like terms: 0.5x + x = 1.5x 3 + 1.5x = -1.5 + -1x + x Combine like terms: -1x + x = 0 3 + 1.5x = -1.5 + 0 3 + 1.5x = -1.5 Add '-3' to each side of the equation. 3 + -3 + 1.5x = -1.5 + -3 Combine like terms: 3 + -3 = 0 0 + 1.5x = -1.5 + -3 1.5x = -1.5 + -3 Combine like terms: -1.5 + -3 = -4.5 1.5x = -4.5 Divide each side by '1.5'. x = -3 Simplifying x = -3
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