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Simplifying 168 = 32x + -12 + -1(5x + 9) Reorder the terms: 168 = 32x + -12 + -1(9 + 5x) 168 = 32x + -12 + (9 * -1 + 5x * -1) 168 = 32x + -12 + (-9 + -5x) Reorder the terms: 168 = -12 + -9 + 32x + -5x Combine like terms: -12 + -9 = -21 168 = -21 + 32x + -5x Combine like terms: 32x + -5x = 27x 168 = -21 + 27x Solving 168 = -21 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 168 + -27x = -21 + 27x + -27x Combine like terms: 27x + -27x = 0 168 + -27x = -21 + 0 168 + -27x = -21 Add '-168' to each side of the equation. 168 + -168 + -27x = -21 + -168 Combine like terms: 168 + -168 = 0 0 + -27x = -21 + -168 -27x = -21 + -168 Combine like terms: -21 + -168 = -189 -27x = -189 Divide each side by '-27'. x = 7 Simplifying x = 7
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