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Simplifying -2(6x + -9) + 6x = 3(x + 7) Reorder the terms: -2(-9 + 6x) + 6x = 3(x + 7) (-9 * -2 + 6x * -2) + 6x = 3(x + 7) (18 + -12x) + 6x = 3(x + 7) Combine like terms: -12x + 6x = -6x 18 + -6x = 3(x + 7) Reorder the terms: 18 + -6x = 3(7 + x) 18 + -6x = (7 * 3 + x * 3) 18 + -6x = (21 + 3x) Solving 18 + -6x = 21 + 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 = 21 + 3x + -3x Combine like terms: -6x + -3x = -9x 18 + -9x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 18 + -9x = 21 + 0 18 + -9x = 21 Add '-18' to each side of the equation. 18 + -18 + -9x = 21 + -18 Combine like terms: 18 + -18 = 0 0 + -9x = 21 + -18 -9x = 21 + -18 Combine like terms: 21 + -18 = 3 -9x = 3 Divide each side by '-9'. x = -0.3333333333 Simplifying x = -0.3333333333
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