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Simplifying 180 = (x) + (x + 30) + (2x + 10) 180 = x + (x + 30) + (2x + 10) Reorder the terms: 180 = x + (30 + x) + (2x + 10) Remove parenthesis around (30 + x) 180 = x + 30 + x + (2x + 10) Reorder the terms: 180 = x + 30 + x + (10 + 2x) Remove parenthesis around (10 + 2x) 180 = x + 30 + x + 10 + 2x Reorder the terms: 180 = 30 + 10 + x + x + 2x Combine like terms: 30 + 10 = 40 180 = 40 + x + x + 2x Combine like terms: x + x = 2x 180 = 40 + 2x + 2x Combine like terms: 2x + 2x = 4x 180 = 40 + 4x Solving 180 = 40 + 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. 180 + -4x = 40 + 4x + -4x Combine like terms: 4x + -4x = 0 180 + -4x = 40 + 0 180 + -4x = 40 Add '-180' to each side of the equation. 180 + -180 + -4x = 40 + -180 Combine like terms: 180 + -180 = 0 0 + -4x = 40 + -180 -4x = 40 + -180 Combine like terms: 40 + -180 = -140 -4x = -140 Divide each side by '-4'. x = 35 Simplifying x = 35
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