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Simplifying 1.5(3x + 9) = 8x Reorder the terms: 1.5(9 + 3x) = 8x (9 * 1.5 + 3x * 1.5) = 8x (13.5 + 4.5x) = 8x Solving 13.5 + 4.5x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 13.5 + 4.5x + -8x = 8x + -8x Combine like terms: 4.5x + -8x = -3.5x 13.5 + -3.5x = 8x + -8x Combine like terms: 8x + -8x = 0 13.5 + -3.5x = 0 Add '-13.5' to each side of the equation. 13.5 + -13.5 + -3.5x = 0 + -13.5 Combine like terms: 13.5 + -13.5 = 0.0 0.0 + -3.5x = 0 + -13.5 -3.5x = 0 + -13.5 Combine like terms: 0 + -13.5 = -13.5 -3.5x = -13.5 Divide each side by '-3.5'. x = 3.857142857 Simplifying x = 3.857142857
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