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Simplifying 6(3x + 9) = 36 + -1(9x + 9) Reorder the terms: 6(9 + 3x) = 36 + -1(9x + 9) (9 * 6 + 3x * 6) = 36 + -1(9x + 9) (54 + 18x) = 36 + -1(9x + 9) Reorder the terms: 54 + 18x = 36 + -1(9 + 9x) 54 + 18x = 36 + (9 * -1 + 9x * -1) 54 + 18x = 36 + (-9 + -9x) Combine like terms: 36 + -9 = 27 54 + 18x = 27 + -9x Solving 54 + 18x = 27 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 54 + 18x + 9x = 27 + -9x + 9x Combine like terms: 18x + 9x = 27x 54 + 27x = 27 + -9x + 9x Combine like terms: -9x + 9x = 0 54 + 27x = 27 + 0 54 + 27x = 27 Add '-54' to each side of the equation. 54 + -54 + 27x = 27 + -54 Combine like terms: 54 + -54 = 0 0 + 27x = 27 + -54 27x = 27 + -54 Combine like terms: 27 + -54 = -27 27x = -27 Divide each side by '27'. x = -1 Simplifying x = -1
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