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Simplifying 75 + -1x = 2(45 + -1x) 75 + -1x = (45 * 2 + -1x * 2) 75 + -1x = (90 + -2x) Solving 75 + -1x = 90 + -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. 75 + -1x + 2x = 90 + -2x + 2x Combine like terms: -1x + 2x = 1x 75 + 1x = 90 + -2x + 2x Combine like terms: -2x + 2x = 0 75 + 1x = 90 + 0 75 + 1x = 90 Add '-75' to each side of the equation. 75 + -75 + 1x = 90 + -75 Combine like terms: 75 + -75 = 0 0 + 1x = 90 + -75 1x = 90 + -75 Combine like terms: 90 + -75 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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