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Simplifying x + 14 = 180 + -1(2x + 16) Reorder the terms: 14 + x = 180 + -1(2x + 16) Reorder the terms: 14 + x = 180 + -1(16 + 2x) 14 + x = 180 + (16 * -1 + 2x * -1) 14 + x = 180 + (-16 + -2x) Combine like terms: 180 + -16 = 164 14 + x = 164 + -2x Solving 14 + x = 164 + -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 + x + 2x = 164 + -2x + 2x Combine like terms: x + 2x = 3x 14 + 3x = 164 + -2x + 2x Combine like terms: -2x + 2x = 0 14 + 3x = 164 + 0 14 + 3x = 164 Add '-14' to each side of the equation. 14 + -14 + 3x = 164 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = 164 + -14 3x = 164 + -14 Combine like terms: 164 + -14 = 150 3x = 150 Divide each side by '3'. x = 50 Simplifying x = 50
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