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Simplifying 2(40 + x) + 40 + x + -10 + x + 30 = 180 (40 * 2 + x * 2) + 40 + x + -10 + x + 30 = 180 (80 + 2x) + 40 + x + -10 + x + 30 = 180 Reorder the terms: 80 + 40 + -10 + 30 + 2x + x + x = 180 Combine like terms: 80 + 40 = 120 120 + -10 + 30 + 2x + x + x = 180 Combine like terms: 120 + -10 = 110 110 + 30 + 2x + x + x = 180 Combine like terms: 110 + 30 = 140 140 + 2x + x + x = 180 Combine like terms: 2x + x = 3x 140 + 3x + x = 180 Combine like terms: 3x + x = 4x 140 + 4x = 180 Solving 140 + 4x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-140' to each side of the equation. 140 + -140 + 4x = 180 + -140 Combine like terms: 140 + -140 = 0 0 + 4x = 180 + -140 4x = 180 + -140 Combine like terms: 180 + -140 = 40 4x = 40 Divide each side by '4'. x = 10 Simplifying x = 10
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