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Simplifying 1.5(x + 12) + -2x = -1 Reorder the terms: 1.5(12 + x) + -2x = -1 (12 * 1.5 + x * 1.5) + -2x = -1 (18 + 1.5x) + -2x = -1 Combine like terms: 1.5x + -2x = -0.5x 18 + -0.5x = -1 Solving 18 + -0.5x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -0.5x = -1 + -18 Combine like terms: 18 + -18 = 0 0 + -0.5x = -1 + -18 -0.5x = -1 + -18 Combine like terms: -1 + -18 = -19 -0.5x = -19 Divide each side by '-0.5'. x = 38 Simplifying x = 38
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