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Simplifying 180 = (13x + 7) + (6x + 21) Reorder the terms: 180 = (7 + 13x) + (6x + 21) Remove parenthesis around (7 + 13x) 180 = 7 + 13x + (6x + 21) Reorder the terms: 180 = 7 + 13x + (21 + 6x) Remove parenthesis around (21 + 6x) 180 = 7 + 13x + 21 + 6x Reorder the terms: 180 = 7 + 21 + 13x + 6x Combine like terms: 7 + 21 = 28 180 = 28 + 13x + 6x Combine like terms: 13x + 6x = 19x 180 = 28 + 19x Solving 180 = 28 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 180 + -19x = 28 + 19x + -19x Combine like terms: 19x + -19x = 0 180 + -19x = 28 + 0 180 + -19x = 28 Add '-180' to each side of the equation. 180 + -180 + -19x = 28 + -180 Combine like terms: 180 + -180 = 0 0 + -19x = 28 + -180 -19x = 28 + -180 Combine like terms: 28 + -180 = -152 -19x = -152 Divide each side by '-19'. x = 8 Simplifying x = 8
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