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Simplifying 0.5(x + 6) = 1.5(x + -1) Reorder the terms: 0.5(6 + x) = 1.5(x + -1) (6 * 0.5 + x * 0.5) = 1.5(x + -1) (3 + 0.5x) = 1.5(x + -1) Reorder the terms: 3 + 0.5x = 1.5(-1 + x) 3 + 0.5x = (-1 * 1.5 + x * 1.5) 3 + 0.5x = (-1.5 + 1.5x) Solving 3 + 0.5x = -1.5 + 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. 3 + 0.5x + -1.5x = -1.5 + 1.5x + -1.5x Combine like terms: 0.5x + -1.5x = -1x 3 + -1x = -1.5 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 3 + -1x = -1.5 + 0.0 3 + -1x = -1.5 Add '-3' to each side of the equation. 3 + -3 + -1x = -1.5 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = -1.5 + -3 -1x = -1.5 + -3 Combine like terms: -1.5 + -3 = -4.5 -1x = -4.5 Divide each side by '-1'. x = 4.5 Simplifying x = 4.5
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