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Simplifying 3x + 2(x + -9) = 8x + -14 Reorder the terms: 3x + 2(-9 + x) = 8x + -14 3x + (-9 * 2 + x * 2) = 8x + -14 3x + (-18 + 2x) = 8x + -14 Reorder the terms: -18 + 3x + 2x = 8x + -14 Combine like terms: 3x + 2x = 5x -18 + 5x = 8x + -14 Reorder the terms: -18 + 5x = -14 + 8x Solving -18 + 5x = -14 + 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 + 5x + -8x = -14 + 8x + -8x Combine like terms: 5x + -8x = -3x -18 + -3x = -14 + 8x + -8x Combine like terms: 8x + -8x = 0 -18 + -3x = -14 + 0 -18 + -3x = -14 Add '18' to each side of the equation. -18 + 18 + -3x = -14 + 18 Combine like terms: -18 + 18 = 0 0 + -3x = -14 + 18 -3x = -14 + 18 Combine like terms: -14 + 18 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333
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