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Simplifying 180 + -1(2x + 10) = 180 + -1(4x + -20) Reorder the terms: 180 + -1(10 + 2x) = 180 + -1(4x + -20) 180 + (10 * -1 + 2x * -1) = 180 + -1(4x + -20) 180 + (-10 + -2x) = 180 + -1(4x + -20) Combine like terms: 180 + -10 = 170 170 + -2x = 180 + -1(4x + -20) Reorder the terms: 170 + -2x = 180 + -1(-20 + 4x) 170 + -2x = 180 + (-20 * -1 + 4x * -1) 170 + -2x = 180 + (20 + -4x) Combine like terms: 180 + 20 = 200 170 + -2x = 200 + -4x Solving 170 + -2x = 200 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 170 + -2x + 4x = 200 + -4x + 4x Combine like terms: -2x + 4x = 2x 170 + 2x = 200 + -4x + 4x Combine like terms: -4x + 4x = 0 170 + 2x = 200 + 0 170 + 2x = 200 Add '-170' to each side of the equation. 170 + -170 + 2x = 200 + -170 Combine like terms: 170 + -170 = 0 0 + 2x = 200 + -170 2x = 200 + -170 Combine like terms: 200 + -170 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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