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