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Simplifying 0.5(x + 3) = -3x + 2 Reorder the terms: 0.5(3 + x) = -3x + 2 (3 * 0.5 + x * 0.5) = -3x + 2 (1.5 + 0.5x) = -3x + 2 Reorder the terms: 1.5 + 0.5x = 2 + -3x Solving 1.5 + 0.5x = 2 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 1.5 + 0.5x + 3x = 2 + -3x + 3x Combine like terms: 0.5x + 3x = 3.5x 1.5 + 3.5x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 1.5 + 3.5x = 2 + 0 1.5 + 3.5x = 2 Add '-1.5' to each side of the equation. 1.5 + -1.5 + 3.5x = 2 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 3.5x = 2 + -1.5 3.5x = 2 + -1.5 Combine like terms: 2 + -1.5 = 0.5 3.5x = 0.5 Divide each side by '3.5'. x = 0.1428571429 Simplifying x = 0.1428571429
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