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Simplifying 1.5(6x + -9) = 3x + 6 Reorder the terms: 1.5(-9 + 6x) = 3x + 6 (-9 * 1.5 + 6x * 1.5) = 3x + 6 (-13.5 + 9x) = 3x + 6 Reorder the terms: -13.5 + 9x = 6 + 3x Solving -13.5 + 9x = 6 + 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. -13.5 + 9x + -3x = 6 + 3x + -3x Combine like terms: 9x + -3x = 6x -13.5 + 6x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -13.5 + 6x = 6 + 0 -13.5 + 6x = 6 Add '13.5' to each side of the equation. -13.5 + 13.5 + 6x = 6 + 13.5 Combine like terms: -13.5 + 13.5 = 0.0 0.0 + 6x = 6 + 13.5 6x = 6 + 13.5 Combine like terms: 6 + 13.5 = 19.5 6x = 19.5 Divide each side by '6'. x = 3.25 Simplifying x = 3.25
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