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Simplifying 2(5x + -9) + 8x = -9(x + 2) Reorder the terms: 2(-9 + 5x) + 8x = -9(x + 2) (-9 * 2 + 5x * 2) + 8x = -9(x + 2) (-18 + 10x) + 8x = -9(x + 2) Combine like terms: 10x + 8x = 18x -18 + 18x = -9(x + 2) Reorder the terms: -18 + 18x = -9(2 + x) -18 + 18x = (2 * -9 + x * -9) -18 + 18x = (-18 + -9x) Add '18' to each side of the equation. -18 + 18 + 18x = -18 + 18 + -9x Combine like terms: -18 + 18 = 0 0 + 18x = -18 + 18 + -9x 18x = -18 + 18 + -9x Combine like terms: -18 + 18 = 0 18x = 0 + -9x 18x = -9x Solving 18x = -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. 18x + 9x = -9x + 9x Combine like terms: 18x + 9x = 27x 27x = -9x + 9x Combine like terms: -9x + 9x = 0 27x = 0 Divide each side by '27'. x = 0 Simplifying x = 0
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