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Simplifying 1.5(12 + -3x) = 12(1.5 + -3x) (12 * 1.5 + -3x * 1.5) = 12(1.5 + -3x) (18 + -4.5x) = 12(1.5 + -3x) 18 + -4.5x = (1.5 * 12 + -3x * 12) 18 + -4.5x = (18 + -36x) Add '-18' to each side of the equation. 18 + -18 + -4.5x = 18 + -18 + -36x Combine like terms: 18 + -18 = 0 0 + -4.5x = 18 + -18 + -36x -4.5x = 18 + -18 + -36x Combine like terms: 18 + -18 = 0 -4.5x = 0 + -36x -4.5x = -36x Solving -4.5x = -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -4.5x + 36x = -36x + 36x Combine like terms: -4.5x + 36x = 31.5x 31.5x = -36x + 36x Combine like terms: -36x + 36x = 0 31.5x = 0 Divide each side by '31.5'. x = 0 Simplifying x = 0
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