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Simplifying 9(x + -3) = 2(2x + 9) Reorder the terms: 9(-3 + x) = 2(2x + 9) (-3 * 9 + x * 9) = 2(2x + 9) (-27 + 9x) = 2(2x + 9) Reorder the terms: -27 + 9x = 2(9 + 2x) -27 + 9x = (9 * 2 + 2x * 2) -27 + 9x = (18 + 4x) Solving -27 + 9x = 18 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -27 + 9x + -4x = 18 + 4x + -4x Combine like terms: 9x + -4x = 5x -27 + 5x = 18 + 4x + -4x Combine like terms: 4x + -4x = 0 -27 + 5x = 18 + 0 -27 + 5x = 18 Add '27' to each side of the equation. -27 + 27 + 5x = 18 + 27 Combine like terms: -27 + 27 = 0 0 + 5x = 18 + 27 5x = 18 + 27 Combine like terms: 18 + 27 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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