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Simplifying 7(3x + 9) = 18 + -1(6x + 9) Reorder the terms: 7(9 + 3x) = 18 + -1(6x + 9) (9 * 7 + 3x * 7) = 18 + -1(6x + 9) (63 + 21x) = 18 + -1(6x + 9) Reorder the terms: 63 + 21x = 18 + -1(9 + 6x) 63 + 21x = 18 + (9 * -1 + 6x * -1) 63 + 21x = 18 + (-9 + -6x) Combine like terms: 18 + -9 = 9 63 + 21x = 9 + -6x Solving 63 + 21x = 9 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 63 + 21x + 6x = 9 + -6x + 6x Combine like terms: 21x + 6x = 27x 63 + 27x = 9 + -6x + 6x Combine like terms: -6x + 6x = 0 63 + 27x = 9 + 0 63 + 27x = 9 Add '-63' to each side of the equation. 63 + -63 + 27x = 9 + -63 Combine like terms: 63 + -63 = 0 0 + 27x = 9 + -63 27x = 9 + -63 Combine like terms: 9 + -63 = -54 27x = -54 Divide each side by '27'. x = -2 Simplifying x = -2
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