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Simplifying 3x + 2(x + -9) = 8 + x + -14 Reorder the terms: 3x + 2(-9 + x) = 8 + x + -14 3x + (-9 * 2 + x * 2) = 8 + x + -14 3x + (-18 + 2x) = 8 + x + -14 Reorder the terms: -18 + 3x + 2x = 8 + x + -14 Combine like terms: 3x + 2x = 5x -18 + 5x = 8 + x + -14 Reorder the terms: -18 + 5x = 8 + -14 + x Combine like terms: 8 + -14 = -6 -18 + 5x = -6 + x Solving -18 + 5x = -6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -18 + 5x + -1x = -6 + x + -1x Combine like terms: 5x + -1x = 4x -18 + 4x = -6 + x + -1x Combine like terms: x + -1x = 0 -18 + 4x = -6 + 0 -18 + 4x = -6 Add '18' to each side of the equation. -18 + 18 + 4x = -6 + 18 Combine like terms: -18 + 18 = 0 0 + 4x = -6 + 18 4x = -6 + 18 Combine like terms: -6 + 18 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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