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Simplifying (13x + -11) + (4x + 1) + (180 + -1(18x + -15)) = 180 Reorder the terms: (-11 + 13x) + (4x + 1) + (180 + -1(18x + -15)) = 180 Remove parenthesis around (-11 + 13x) -11 + 13x + (4x + 1) + (180 + -1(18x + -15)) = 180 Reorder the terms: -11 + 13x + (1 + 4x) + (180 + -1(18x + -15)) = 180 Remove parenthesis around (1 + 4x) -11 + 13x + 1 + 4x + (180 + -1(18x + -15)) = 180 Reorder the terms: -11 + 13x + 1 + 4x + (180 + -1(-15 + 18x)) = 180 -11 + 13x + 1 + 4x + (180 + (-15 * -1 + 18x * -1)) = 180 -11 + 13x + 1 + 4x + (180 + (15 + -18x)) = 180 Combine like terms: 180 + 15 = 195 -11 + 13x + 1 + 4x + (195 + -18x) = 180 Remove parenthesis around (195 + -18x) -11 + 13x + 1 + 4x + 195 + -18x = 180 Reorder the terms: -11 + 1 + 195 + 13x + 4x + -18x = 180 Combine like terms: -11 + 1 = -10 -10 + 195 + 13x + 4x + -18x = 180 Combine like terms: -10 + 195 = 185 185 + 13x + 4x + -18x = 180 Combine like terms: 13x + 4x = 17x 185 + 17x + -18x = 180 Combine like terms: 17x + -18x = -1x 185 + -1x = 180 Solving 185 + -1x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-185' to each side of the equation. 185 + -185 + -1x = 180 + -185 Combine like terms: 185 + -185 = 0 0 + -1x = 180 + -185 -1x = 180 + -185 Combine like terms: 180 + -185 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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