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Simplifying 1.5(18 + x) = 24 + 2x (18 * 1.5 + x * 1.5) = 24 + 2x (27 + 1.5x) = 24 + 2x Solving 27 + 1.5x = 24 + 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. 27 + 1.5x + -2x = 24 + 2x + -2x Combine like terms: 1.5x + -2x = -0.5x 27 + -0.5x = 24 + 2x + -2x Combine like terms: 2x + -2x = 0 27 + -0.5x = 24 + 0 27 + -0.5x = 24 Add '-27' to each side of the equation. 27 + -27 + -0.5x = 24 + -27 Combine like terms: 27 + -27 = 0 0 + -0.5x = 24 + -27 -0.5x = 24 + -27 Combine like terms: 24 + -27 = -3 -0.5x = -3 Divide each side by '-0.5'. x = 6 Simplifying x = 6
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