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Simplifying 1(50 + x) = 1(150 + -1x) (50 * 1 + x * 1) = 1(150 + -1x) (50 + 1x) = 1(150 + -1x) 50 + 1x = (150 * 1 + -1x * 1) 50 + 1x = (150 + -1x) Solving 50 + 1x = 150 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 50 + 1x + x = 150 + -1x + x Combine like terms: 1x + x = 2x 50 + 2x = 150 + -1x + x Combine like terms: -1x + x = 0 50 + 2x = 150 + 0 50 + 2x = 150 Add '-50' to each side of the equation. 50 + -50 + 2x = 150 + -50 Combine like terms: 50 + -50 = 0 0 + 2x = 150 + -50 2x = 150 + -50 Combine like terms: 150 + -50 = 100 2x = 100 Divide each side by '2'. x = 50 Simplifying x = 50
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