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Simplifying -3(x + -27) + 9(x + 3) = 27x + 108 Reorder the terms: -3(-27 + x) + 9(x + 3) = 27x + 108 (-27 * -3 + x * -3) + 9(x + 3) = 27x + 108 (81 + -3x) + 9(x + 3) = 27x + 108 Reorder the terms: 81 + -3x + 9(3 + x) = 27x + 108 81 + -3x + (3 * 9 + x * 9) = 27x + 108 81 + -3x + (27 + 9x) = 27x + 108 Reorder the terms: 81 + 27 + -3x + 9x = 27x + 108 Combine like terms: 81 + 27 = 108 108 + -3x + 9x = 27x + 108 Combine like terms: -3x + 9x = 6x 108 + 6x = 27x + 108 Reorder the terms: 108 + 6x = 108 + 27x Add '-108' to each side of the equation. 108 + -108 + 6x = 108 + -108 + 27x Combine like terms: 108 + -108 = 0 0 + 6x = 108 + -108 + 27x 6x = 108 + -108 + 27x Combine like terms: 108 + -108 = 0 6x = 0 + 27x 6x = 27x Solving 6x = 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. 6x + -27x = 27x + -27x Combine like terms: 6x + -27x = -21x -21x = 27x + -27x Combine like terms: 27x + -27x = 0 -21x = 0 Divide each side by '-21'. x = 0 Simplifying x = 0
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