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Simplifying 0.5(x + 4) + -1.5x = 5 Reorder the terms: 0.5(4 + x) + -1.5x = 5 (4 * 0.5 + x * 0.5) + -1.5x = 5 (2 + 0.5x) + -1.5x = 5 Combine like terms: 0.5x + -1.5x = -1x 2 + -1x = 5 Solving 2 + -1x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 5 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 5 + -2 -1x = 5 + -2 Combine like terms: 5 + -2 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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