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Simplifying (2x + -9) + -1(27 + -4x) = 180 Reorder the terms: (-9 + 2x) + -1(27 + -4x) = 180 Remove parenthesis around (-9 + 2x) -9 + 2x + -1(27 + -4x) = 180 -9 + 2x + (27 * -1 + -4x * -1) = 180 -9 + 2x + (-27 + 4x) = 180 Reorder the terms: -9 + -27 + 2x + 4x = 180 Combine like terms: -9 + -27 = -36 -36 + 2x + 4x = 180 Combine like terms: 2x + 4x = 6x -36 + 6x = 180 Solving -36 + 6x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 6x = 180 + 36 Combine like terms: -36 + 36 = 0 0 + 6x = 180 + 36 6x = 180 + 36 Combine like terms: 180 + 36 = 216 6x = 216 Divide each side by '6'. x = 36 Simplifying x = 36
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