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Simplifying 180 + -1(2x + -20) + -1(x + 5) = 180 + -1(2x + 35) Reorder the terms: 180 + -1(-20 + 2x) + -1(x + 5) = 180 + -1(2x + 35) 180 + (-20 * -1 + 2x * -1) + -1(x + 5) = 180 + -1(2x + 35) 180 + (20 + -2x) + -1(x + 5) = 180 + -1(2x + 35) Reorder the terms: 180 + 20 + -2x + -1(5 + x) = 180 + -1(2x + 35) 180 + 20 + -2x + (5 * -1 + x * -1) = 180 + -1(2x + 35) 180 + 20 + -2x + (-5 + -1x) = 180 + -1(2x + 35) Reorder the terms: 180 + 20 + -5 + -2x + -1x = 180 + -1(2x + 35) Combine like terms: 180 + 20 = 200 200 + -5 + -2x + -1x = 180 + -1(2x + 35) Combine like terms: 200 + -5 = 195 195 + -2x + -1x = 180 + -1(2x + 35) Combine like terms: -2x + -1x = -3x 195 + -3x = 180 + -1(2x + 35) Reorder the terms: 195 + -3x = 180 + -1(35 + 2x) 195 + -3x = 180 + (35 * -1 + 2x * -1) 195 + -3x = 180 + (-35 + -2x) Combine like terms: 180 + -35 = 145 195 + -3x = 145 + -2x Solving 195 + -3x = 145 + -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. 195 + -3x + 2x = 145 + -2x + 2x Combine like terms: -3x + 2x = -1x 195 + -1x = 145 + -2x + 2x Combine like terms: -2x + 2x = 0 195 + -1x = 145 + 0 195 + -1x = 145 Add '-195' to each side of the equation. 195 + -195 + -1x = 145 + -195 Combine like terms: 195 + -195 = 0 0 + -1x = 145 + -195 -1x = 145 + -195 Combine like terms: 145 + -195 = -50 -1x = -50 Divide each side by '-1'. x = 50 Simplifying x = 50
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