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Simplifying 14 + 3(x + 2) = 2 + -2(x + 9) Reorder the terms: 14 + 3(2 + x) = 2 + -2(x + 9) 14 + (2 * 3 + x * 3) = 2 + -2(x + 9) 14 + (6 + 3x) = 2 + -2(x + 9) Combine like terms: 14 + 6 = 20 20 + 3x = 2 + -2(x + 9) Reorder the terms: 20 + 3x = 2 + -2(9 + x) 20 + 3x = 2 + (9 * -2 + x * -2) 20 + 3x = 2 + (-18 + -2x) Combine like terms: 2 + -18 = -16 20 + 3x = -16 + -2x Solving 20 + 3x = -16 + -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. 20 + 3x + 2x = -16 + -2x + 2x Combine like terms: 3x + 2x = 5x 20 + 5x = -16 + -2x + 2x Combine like terms: -2x + 2x = 0 20 + 5x = -16 + 0 20 + 5x = -16 Add '-20' to each side of the equation. 20 + -20 + 5x = -16 + -20 Combine like terms: 20 + -20 = 0 0 + 5x = -16 + -20 5x = -16 + -20 Combine like terms: -16 + -20 = -36 5x = -36 Divide each side by '5'. x = -7.2 Simplifying x = -7.2
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