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Simplifying 1.5(6 + -2x) = 3x + -9 (6 * 1.5 + -2x * 1.5) = 3x + -9 (9 + -3x) = 3x + -9 Reorder the terms: 9 + -3x = -9 + 3x Solving 9 + -3x = -9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 9 + -3x + -3x = -9 + 3x + -3x Combine like terms: -3x + -3x = -6x 9 + -6x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + -6x = -9 + 0 9 + -6x = -9 Add '-9' to each side of the equation. 9 + -9 + -6x = -9 + -9 Combine like terms: 9 + -9 = 0 0 + -6x = -9 + -9 -6x = -9 + -9 Combine like terms: -9 + -9 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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