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