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Simplifying 75 = (x + 25) + -1(3x + -10) Reorder the terms: 75 = (25 + x) + -1(3x + -10) Remove parenthesis around (25 + x) 75 = 25 + x + -1(3x + -10) Reorder the terms: 75 = 25 + x + -1(-10 + 3x) 75 = 25 + x + (-10 * -1 + 3x * -1) 75 = 25 + x + (10 + -3x) Reorder the terms: 75 = 25 + 10 + x + -3x Combine like terms: 25 + 10 = 35 75 = 35 + x + -3x Combine like terms: x + -3x = -2x 75 = 35 + -2x Solving 75 = 35 + -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 + 2x = 35 + -2x + 2x Combine like terms: -2x + 2x = 0 75 + 2x = 35 + 0 75 + 2x = 35 Add '-75' to each side of the equation. 75 + -75 + 2x = 35 + -75 Combine like terms: 75 + -75 = 0 0 + 2x = 35 + -75 2x = 35 + -75 Combine like terms: 35 + -75 = -40 2x = -40 Divide each side by '2'. x = -20 Simplifying x = -20
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