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Simplifying 0.5(x + -3) = 1.5(3 + x) Reorder the terms: 0.5(-3 + x) = 1.5(3 + x) (-3 * 0.5 + x * 0.5) = 1.5(3 + x) (-1.5 + 0.5x) = 1.5(3 + x) -1.5 + 0.5x = (3 * 1.5 + x * 1.5) -1.5 + 0.5x = (4.5 + 1.5x) Solving -1.5 + 0.5x = 4.5 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. -1.5 + 0.5x + -1.5x = 4.5 + 1.5x + -1.5x Combine like terms: 0.5x + -1.5x = -1x -1.5 + -1x = 4.5 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -1.5 + -1x = 4.5 + 0.0 -1.5 + -1x = 4.5 Add '1.5' to each side of the equation. -1.5 + 1.5 + -1x = 4.5 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -1x = 4.5 + 1.5 -1x = 4.5 + 1.5 Combine like terms: 4.5 + 1.5 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6
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