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Simplifying 0.5(x + 3) = 2x + -3 Reorder the terms: 0.5(3 + x) = 2x + -3 (3 * 0.5 + x * 0.5) = 2x + -3 (1.5 + 0.5x) = 2x + -3 Reorder the terms: 1.5 + 0.5x = -3 + 2x Solving 1.5 + 0.5x = -3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1.5 + 0.5x + -2x = -3 + 2x + -2x Combine like terms: 0.5x + -2x = -1.5x 1.5 + -1.5x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 1.5 + -1.5x = -3 + 0 1.5 + -1.5x = -3 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -1.5x = -3 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -1.5x = -3 + -1.5 -1.5x = -3 + -1.5 Combine like terms: -3 + -1.5 = -4.5 -1.5x = -4.5 Divide each side by '-1.5'. x = 3 Simplifying x = 3
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