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Simplifying 5x + 14 + -2x = 9 + -1(12 + 2x) Reorder the terms: 14 + 5x + -2x = 9 + -1(12 + 2x) Combine like terms: 5x + -2x = 3x 14 + 3x = 9 + -1(12 + 2x) 14 + 3x = 9 + (12 * -1 + 2x * -1) 14 + 3x = 9 + (-12 + -2x) Combine like terms: 9 + -12 = -3 14 + 3x = -3 + -2x Solving 14 + 3x = -3 + -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. 14 + 3x + 2x = -3 + -2x + 2x Combine like terms: 3x + 2x = 5x 14 + 5x = -3 + -2x + 2x Combine like terms: -2x + 2x = 0 14 + 5x = -3 + 0 14 + 5x = -3 Add '-14' to each side of the equation. 14 + -14 + 5x = -3 + -14 Combine like terms: 14 + -14 = 0 0 + 5x = -3 + -14 5x = -3 + -14 Combine like terms: -3 + -14 = -17 5x = -17 Divide each side by '5'. x = -3.4 Simplifying x = -3.4
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