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Simplifying 2x + 30 = x + 10 + (180 + -1(2x + 10)) Reorder the terms: 30 + 2x = x + 10 + (180 + -1(2x + 10)) Reorder the terms: 30 + 2x = x + 10 + (180 + -1(10 + 2x)) 30 + 2x = x + 10 + (180 + (10 * -1 + 2x * -1)) 30 + 2x = x + 10 + (180 + (-10 + -2x)) Combine like terms: 180 + -10 = 170 30 + 2x = x + 10 + (170 + -2x) Remove parenthesis around (170 + -2x) 30 + 2x = x + 10 + 170 + -2x Reorder the terms: 30 + 2x = 10 + 170 + x + -2x Combine like terms: 10 + 170 = 180 30 + 2x = 180 + x + -2x Combine like terms: x + -2x = -1x 30 + 2x = 180 + -1x Solving 30 + 2x = 180 + -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. 30 + 2x + x = 180 + -1x + x Combine like terms: 2x + x = 3x 30 + 3x = 180 + -1x + x Combine like terms: -1x + x = 0 30 + 3x = 180 + 0 30 + 3x = 180 Add '-30' to each side of the equation. 30 + -30 + 3x = 180 + -30 Combine like terms: 30 + -30 = 0 0 + 3x = 180 + -30 3x = 180 + -30 Combine like terms: 180 + -30 = 150 3x = 150 Divide each side by '3'. x = 50 Simplifying x = 50
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