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Simplifying (9x + 15) + -1(150 + -9x) = 27 Reorder the terms: (15 + 9x) + -1(150 + -9x) = 27 Remove parenthesis around (15 + 9x) 15 + 9x + -1(150 + -9x) = 27 15 + 9x + (150 * -1 + -9x * -1) = 27 15 + 9x + (-150 + 9x) = 27 Reorder the terms: 15 + -150 + 9x + 9x = 27 Combine like terms: 15 + -150 = -135 -135 + 9x + 9x = 27 Combine like terms: 9x + 9x = 18x -135 + 18x = 27 Solving -135 + 18x = 27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '135' to each side of the equation. -135 + 135 + 18x = 27 + 135 Combine like terms: -135 + 135 = 0 0 + 18x = 27 + 135 18x = 27 + 135 Combine like terms: 27 + 135 = 162 18x = 162 Divide each side by '18'. x = 9 Simplifying x = 9
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