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Simplifying 0.5(x + 10) + 1.5x + -3 = 12 Reorder the terms: 0.5(10 + x) + 1.5x + -3 = 12 (10 * 0.5 + x * 0.5) + 1.5x + -3 = 12 (5 + 0.5x) + 1.5x + -3 = 12 Reorder the terms: 5 + -3 + 0.5x + 1.5x = 12 Combine like terms: 5 + -3 = 2 2 + 0.5x + 1.5x = 12 Combine like terms: 0.5x + 1.5x = 2x 2 + 2x = 12 Solving 2 + 2x = 12 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 + 2x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 12 + -2 2x = 12 + -2 Combine like terms: 12 + -2 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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