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Simplifying -6x + 18 = 7 + -1(3x + 9) Reorder the terms: 18 + -6x = 7 + -1(3x + 9) Reorder the terms: 18 + -6x = 7 + -1(9 + 3x) 18 + -6x = 7 + (9 * -1 + 3x * -1) 18 + -6x = 7 + (-9 + -3x) Combine like terms: 7 + -9 = -2 18 + -6x = -2 + -3x Solving 18 + -6x = -2 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 18 + -6x + 3x = -2 + -3x + 3x Combine like terms: -6x + 3x = -3x 18 + -3x = -2 + -3x + 3x Combine like terms: -3x + 3x = 0 18 + -3x = -2 + 0 18 + -3x = -2 Add '-18' to each side of the equation. 18 + -18 + -3x = -2 + -18 Combine like terms: 18 + -18 = 0 0 + -3x = -2 + -18 -3x = -2 + -18 Combine like terms: -2 + -18 = -20 -3x = -20 Divide each side by '-3'. x = 6.666666667 Simplifying x = 6.666666667
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