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Simplifying 0.5(x + 3) = 2(x + -3) Reorder the terms: 0.5(3 + x) = 2(x + -3) (3 * 0.5 + x * 0.5) = 2(x + -3) (1.5 + 0.5x) = 2(x + -3) Reorder the terms: 1.5 + 0.5x = 2(-3 + x) 1.5 + 0.5x = (-3 * 2 + x * 2) 1.5 + 0.5x = (-6 + 2x) Solving 1.5 + 0.5x = -6 + 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 = -6 + 2x + -2x Combine like terms: 0.5x + -2x = -1.5x 1.5 + -1.5x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 1.5 + -1.5x = -6 + 0 1.5 + -1.5x = -6 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -1.5x = -6 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -1.5x = -6 + -1.5 -1.5x = -6 + -1.5 Combine like terms: -6 + -1.5 = -7.5 -1.5x = -7.5 Divide each side by '-1.5'. x = 5 Simplifying x = 5
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