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Simplifying 180 = (100 + -1x) + (30 + 4x) + (7x) Remove parenthesis around (100 + -1x) 180 = 100 + -1x + (30 + 4x) + (7x) Remove parenthesis around (30 + 4x) 180 = 100 + -1x + 30 + 4x + (7x) Reorder the terms: 180 = 100 + 30 + -1x + 4x + (7x) Combine like terms: 100 + 30 = 130 180 = 130 + -1x + 4x + (7x) Combine like terms: -1x + 4x = 3x 180 = 130 + 3x + (7x) Combine like terms: 3x + (7x) = 10x 180 = 130 + 10x Solving 180 = 130 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 180 + -10x = 130 + 10x + -10x Combine like terms: 10x + -10x = 0 180 + -10x = 130 + 0 180 + -10x = 130 Add '-180' to each side of the equation. 180 + -180 + -10x = 130 + -180 Combine like terms: 180 + -180 = 0 0 + -10x = 130 + -180 -10x = 130 + -180 Combine like terms: 130 + -180 = -50 -10x = -50 Divide each side by '-10'. x = 5 Simplifying x = 5
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