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Simplifying 1.5(x + 12) = 2x + -5 Reorder the terms: 1.5(12 + x) = 2x + -5 (12 * 1.5 + x * 1.5) = 2x + -5 (18 + 1.5x) = 2x + -5 Reorder the terms: 18 + 1.5x = -5 + 2x Solving 18 + 1.5x = -5 + 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. 18 + 1.5x + -2x = -5 + 2x + -2x Combine like terms: 1.5x + -2x = -0.5x 18 + -0.5x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + -0.5x = -5 + 0 18 + -0.5x = -5 Add '-18' to each side of the equation. 18 + -18 + -0.5x = -5 + -18 Combine like terms: 18 + -18 = 0 0 + -0.5x = -5 + -18 -0.5x = -5 + -18 Combine like terms: -5 + -18 = -23 -0.5x = -23 Divide each side by '-0.5'. x = 46 Simplifying x = 46
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