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Simplifying 180 + -1(3x + 5) = 180 + -1(5x + -57) Reorder the terms: 180 + -1(5 + 3x) = 180 + -1(5x + -57) 180 + (5 * -1 + 3x * -1) = 180 + -1(5x + -57) 180 + (-5 + -3x) = 180 + -1(5x + -57) Combine like terms: 180 + -5 = 175 175 + -3x = 180 + -1(5x + -57) Reorder the terms: 175 + -3x = 180 + -1(-57 + 5x) 175 + -3x = 180 + (-57 * -1 + 5x * -1) 175 + -3x = 180 + (57 + -5x) Combine like terms: 180 + 57 = 237 175 + -3x = 237 + -5x Solving 175 + -3x = 237 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 175 + -3x + 5x = 237 + -5x + 5x Combine like terms: -3x + 5x = 2x 175 + 2x = 237 + -5x + 5x Combine like terms: -5x + 5x = 0 175 + 2x = 237 + 0 175 + 2x = 237 Add '-175' to each side of the equation. 175 + -175 + 2x = 237 + -175 Combine like terms: 175 + -175 = 0 0 + 2x = 237 + -175 2x = 237 + -175 Combine like terms: 237 + -175 = 62 2x = 62 Divide each side by '2'. x = 31 Simplifying x = 31
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