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Simplifying 2x + -3(x + 0.5) = 0.5x Reorder the terms: 2x + -3(0.5 + x) = 0.5x 2x + (0.5 * -3 + x * -3) = 0.5x 2x + (-1.5 + -3x) = 0.5x Reorder the terms: -1.5 + 2x + -3x = 0.5x Combine like terms: 2x + -3x = -1x -1.5 + -1x = 0.5x Solving -1.5 + -1x = 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. -1.5 + -1x + -0.5x = 0.5x + -0.5x Combine like terms: -1x + -0.5x = -1.5x -1.5 + -1.5x = 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -1.5 + -1.5x = 0.0 Add '1.5' to each side of the equation. -1.5 + 1.5 + -1.5x = 0.0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -1.5x = 0.0 + 1.5 -1.5x = 0.0 + 1.5 Combine like terms: 0.0 + 1.5 = 1.5 -1.5x = 1.5 Divide each side by '-1.5'. x = -1 Simplifying x = -1
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