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Simplifying 4.5(3x + -2) = 9(x + 4) Reorder the terms: 4.5(-2 + 3x) = 9(x + 4) (-2 * 4.5 + 3x * 4.5) = 9(x + 4) (-9 + 13.5x) = 9(x + 4) Reorder the terms: -9 + 13.5x = 9(4 + x) -9 + 13.5x = (4 * 9 + x * 9) -9 + 13.5x = (36 + 9x) Solving -9 + 13.5x = 36 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -9 + 13.5x + -9x = 36 + 9x + -9x Combine like terms: 13.5x + -9x = 4.5x -9 + 4.5x = 36 + 9x + -9x Combine like terms: 9x + -9x = 0 -9 + 4.5x = 36 + 0 -9 + 4.5x = 36 Add '9' to each side of the equation. -9 + 9 + 4.5x = 36 + 9 Combine like terms: -9 + 9 = 0 0 + 4.5x = 36 + 9 4.5x = 36 + 9 Combine like terms: 36 + 9 = 45 4.5x = 45 Divide each side by '4.5'. x = 10 Simplifying x = 10
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