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Simplifying 1.5(6x + -9) = 5x + -11 Reorder the terms: 1.5(-9 + 6x) = 5x + -11 (-9 * 1.5 + 6x * 1.5) = 5x + -11 (-13.5 + 9x) = 5x + -11 Reorder the terms: -13.5 + 9x = -11 + 5x Solving -13.5 + 9x = -11 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -13.5 + 9x + -5x = -11 + 5x + -5x Combine like terms: 9x + -5x = 4x -13.5 + 4x = -11 + 5x + -5x Combine like terms: 5x + -5x = 0 -13.5 + 4x = -11 + 0 -13.5 + 4x = -11 Add '13.5' to each side of the equation. -13.5 + 13.5 + 4x = -11 + 13.5 Combine like terms: -13.5 + 13.5 = 0.0 0.0 + 4x = -11 + 13.5 4x = -11 + 13.5 Combine like terms: -11 + 13.5 = 2.5 4x = 2.5 Divide each side by '4'. x = 0.625 Simplifying x = 0.625
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