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Simplifying (6x + 1) + -1(5x + -17) + -1(9x + -24) = 180 Reorder the terms: (1 + 6x) + -1(5x + -17) + -1(9x + -24) = 180 Remove parenthesis around (1 + 6x) 1 + 6x + -1(5x + -17) + -1(9x + -24) = 180 Reorder the terms: 1 + 6x + -1(-17 + 5x) + -1(9x + -24) = 180 1 + 6x + (-17 * -1 + 5x * -1) + -1(9x + -24) = 180 1 + 6x + (17 + -5x) + -1(9x + -24) = 180 Reorder the terms: 1 + 6x + 17 + -5x + -1(-24 + 9x) = 180 1 + 6x + 17 + -5x + (-24 * -1 + 9x * -1) = 180 1 + 6x + 17 + -5x + (24 + -9x) = 180 Reorder the terms: 1 + 17 + 24 + 6x + -5x + -9x = 180 Combine like terms: 1 + 17 = 18 18 + 24 + 6x + -5x + -9x = 180 Combine like terms: 18 + 24 = 42 42 + 6x + -5x + -9x = 180 Combine like terms: 6x + -5x = 1x 42 + 1x + -9x = 180 Combine like terms: 1x + -9x = -8x 42 + -8x = 180 Solving 42 + -8x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -8x = 180 + -42 Combine like terms: 42 + -42 = 0 0 + -8x = 180 + -42 -8x = 180 + -42 Combine like terms: 180 + -42 = 138 -8x = 138 Divide each side by '-8'. x = -17.25 Simplifying x = -17.25
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