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Simplifying 180 = (3x + 5) + (10x + -7) Reorder the terms: 180 = (5 + 3x) + (10x + -7) Remove parenthesis around (5 + 3x) 180 = 5 + 3x + (10x + -7) Reorder the terms: 180 = 5 + 3x + (-7 + 10x) Remove parenthesis around (-7 + 10x) 180 = 5 + 3x + -7 + 10x Reorder the terms: 180 = 5 + -7 + 3x + 10x Combine like terms: 5 + -7 = -2 180 = -2 + 3x + 10x Combine like terms: 3x + 10x = 13x 180 = -2 + 13x Solving 180 = -2 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 180 + -13x = -2 + 13x + -13x Combine like terms: 13x + -13x = 0 180 + -13x = -2 + 0 180 + -13x = -2 Add '-180' to each side of the equation. 180 + -180 + -13x = -2 + -180 Combine like terms: 180 + -180 = 0 0 + -13x = -2 + -180 -13x = -2 + -180 Combine like terms: -2 + -180 = -182 -13x = -182 Divide each side by '-13'. x = 14 Simplifying x = 14
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