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Simplifying 2(3x + -9) = 10 + 8x Reorder the terms: 2(-9 + 3x) = 10 + 8x (-9 * 2 + 3x * 2) = 10 + 8x (-18 + 6x) = 10 + 8x Solving -18 + 6x = 10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -18 + 6x + -8x = 10 + 8x + -8x Combine like terms: 6x + -8x = -2x -18 + -2x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 -18 + -2x = 10 + 0 -18 + -2x = 10 Add '18' to each side of the equation. -18 + 18 + -2x = 10 + 18 Combine like terms: -18 + 18 = 0 0 + -2x = 10 + 18 -2x = 10 + 18 Combine like terms: 10 + 18 = 28 -2x = 28 Divide each side by '-2'. x = -14 Simplifying x = -14
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