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Simplifying 0.5(5x + 12) = 2x + -3 Reorder the terms: 0.5(12 + 5x) = 2x + -3 (12 * 0.5 + 5x * 0.5) = 2x + -3 (6 + 2.5x) = 2x + -3 Reorder the terms: 6 + 2.5x = -3 + 2x Solving 6 + 2.5x = -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. 6 + 2.5x + -2x = -3 + 2x + -2x Combine like terms: 2.5x + -2x = 0.5x 6 + 0.5x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 0.5x = -3 + 0 6 + 0.5x = -3 Add '-6' to each side of the equation. 6 + -6 + 0.5x = -3 + -6 Combine like terms: 6 + -6 = 0 0 + 0.5x = -3 + -6 0.5x = -3 + -6 Combine like terms: -3 + -6 = -9 0.5x = -9 Divide each side by '0.5'. x = -18 Simplifying x = -18
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