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Simplifying 15 + 35 = 57 + -1(19 + -1x) Combine like terms: 15 + 35 = 50 50 = 57 + -1(19 + -1x) 50 = 57 + (19 * -1 + -1x * -1) 50 = 57 + (-19 + 1x) Combine like terms: 57 + -19 = 38 50 = 38 + 1x Solving 50 = 38 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 50 + -1x = 38 + 1x + -1x Combine like terms: 1x + -1x = 0 50 + -1x = 38 + 0 50 + -1x = 38 Add '-50' to each side of the equation. 50 + -50 + -1x = 38 + -50 Combine like terms: 50 + -50 = 0 0 + -1x = 38 + -50 -1x = 38 + -50 Combine like terms: 38 + -50 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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