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Simplifying 180 + -1(8x + 20) + 40 + (3x + 10) = 180 Reorder the terms: 180 + -1(20 + 8x) + 40 + (3x + 10) = 180 180 + (20 * -1 + 8x * -1) + 40 + (3x + 10) = 180 180 + (-20 + -8x) + 40 + (3x + 10) = 180 Reorder the terms: 180 + -20 + -8x + 40 + (10 + 3x) = 180 Remove parenthesis around (10 + 3x) 180 + -20 + -8x + 40 + 10 + 3x = 180 Reorder the terms: 180 + -20 + 40 + 10 + -8x + 3x = 180 Combine like terms: 180 + -20 = 160 160 + 40 + 10 + -8x + 3x = 180 Combine like terms: 160 + 40 = 200 200 + 10 + -8x + 3x = 180 Combine like terms: 200 + 10 = 210 210 + -8x + 3x = 180 Combine like terms: -8x + 3x = -5x 210 + -5x = 180 Solving 210 + -5x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-210' to each side of the equation. 210 + -210 + -5x = 180 + -210 Combine like terms: 210 + -210 = 0 0 + -5x = 180 + -210 -5x = 180 + -210 Combine like terms: 180 + -210 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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