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Simplifying -3x + 6 = -2(3x + 9) Reorder the terms: 6 + -3x = -2(3x + 9) Reorder the terms: 6 + -3x = -2(9 + 3x) 6 + -3x = (9 * -2 + 3x * -2) 6 + -3x = (-18 + -6x) Solving 6 + -3x = -18 + -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. 6 + -3x + 6x = -18 + -6x + 6x Combine like terms: -3x + 6x = 3x 6 + 3x = -18 + -6x + 6x Combine like terms: -6x + 6x = 0 6 + 3x = -18 + 0 6 + 3x = -18 Add '-6' to each side of the equation. 6 + -6 + 3x = -18 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = -18 + -6 3x = -18 + -6 Combine like terms: -18 + -6 = -24 3x = -24 Divide each side by '3'. x = -8 Simplifying x = -8
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