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Simplifying 9(x + 4) = 4.5(3x + -2) Reorder the terms: 9(4 + x) = 4.5(3x + -2) (4 * 9 + x * 9) = 4.5(3x + -2) (36 + 9x) = 4.5(3x + -2) Reorder the terms: 36 + 9x = 4.5(-2 + 3x) 36 + 9x = (-2 * 4.5 + 3x * 4.5) 36 + 9x = (-9 + 13.5x) Solving 36 + 9x = -9 + 13.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13.5x' to each side of the equation. 36 + 9x + -13.5x = -9 + 13.5x + -13.5x Combine like terms: 9x + -13.5x = -4.5x 36 + -4.5x = -9 + 13.5x + -13.5x Combine like terms: 13.5x + -13.5x = 0.0 36 + -4.5x = -9 + 0.0 36 + -4.5x = -9 Add '-36' to each side of the equation. 36 + -36 + -4.5x = -9 + -36 Combine like terms: 36 + -36 = 0 0 + -4.5x = -9 + -36 -4.5x = -9 + -36 Combine like terms: -9 + -36 = -45 -4.5x = -45 Divide each side by '-4.5'. x = 10 Simplifying x = 10
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