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Simplifying 13x + 6 + [180 + -1(15x + -18)] = 180 Reorder the terms: 13x + 6 + [180 + -1(-18 + 15x)] = 180 13x + 6 + [180 + (-18 * -1 + 15x * -1)] = 180 13x + 6 + [180 + (18 + -15x)] = 180 Combine like terms: 180 + 18 = 198 13x + 6 + [198 + -15x] = 180 Remove brackets around [198 + -15x] 13x + 6 + 198 + -15x = 180 Reorder the terms: 6 + 198 + 13x + -15x = 180 Combine like terms: 6 + 198 = 204 204 + 13x + -15x = 180 Combine like terms: 13x + -15x = -2x 204 + -2x = 180 Solving 204 + -2x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-204' to each side of the equation. 204 + -204 + -2x = 180 + -204 Combine like terms: 204 + -204 = 0 0 + -2x = 180 + -204 -2x = 180 + -204 Combine like terms: 180 + -204 = -24 -2x = -24 Divide each side by '-2'. x = 12 Simplifying x = 12
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