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Simplifying 3(2x + -9) = 5(x + -4) Reorder the terms: 3(-9 + 2x) = 5(x + -4) (-9 * 3 + 2x * 3) = 5(x + -4) (-27 + 6x) = 5(x + -4) Reorder the terms: -27 + 6x = 5(-4 + x) -27 + 6x = (-4 * 5 + x * 5) -27 + 6x = (-20 + 5x) Solving -27 + 6x = -20 + 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. -27 + 6x + -5x = -20 + 5x + -5x Combine like terms: 6x + -5x = 1x -27 + 1x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 -27 + 1x = -20 + 0 -27 + 1x = -20 Add '27' to each side of the equation. -27 + 27 + 1x = -20 + 27 Combine like terms: -27 + 27 = 0 0 + 1x = -20 + 27 1x = -20 + 27 Combine like terms: -20 + 27 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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