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Simplifying 1.5(6x + -9) = 2(7x + 6) Reorder the terms: 1.5(-9 + 6x) = 2(7x + 6) (-9 * 1.5 + 6x * 1.5) = 2(7x + 6) (-13.5 + 9x) = 2(7x + 6) Reorder the terms: -13.5 + 9x = 2(6 + 7x) -13.5 + 9x = (6 * 2 + 7x * 2) -13.5 + 9x = (12 + 14x) Solving -13.5 + 9x = 12 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -13.5 + 9x + -14x = 12 + 14x + -14x Combine like terms: 9x + -14x = -5x -13.5 + -5x = 12 + 14x + -14x Combine like terms: 14x + -14x = 0 -13.5 + -5x = 12 + 0 -13.5 + -5x = 12 Add '13.5' to each side of the equation. -13.5 + 13.5 + -5x = 12 + 13.5 Combine like terms: -13.5 + 13.5 = 0.0 0.0 + -5x = 12 + 13.5 -5x = 12 + 13.5 Combine like terms: 12 + 13.5 = 25.5 -5x = 25.5 Divide each side by '-5'. x = -5.1 Simplifying x = -5.1
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