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Simplifying 3(-2x + 6) + -7 = 3 + -2(6x + 2) Reorder the terms: 3(6 + -2x) + -7 = 3 + -2(6x + 2) (6 * 3 + -2x * 3) + -7 = 3 + -2(6x + 2) (18 + -6x) + -7 = 3 + -2(6x + 2) Reorder the terms: 18 + -7 + -6x = 3 + -2(6x + 2) Combine like terms: 18 + -7 = 11 11 + -6x = 3 + -2(6x + 2) Reorder the terms: 11 + -6x = 3 + -2(2 + 6x) 11 + -6x = 3 + (2 * -2 + 6x * -2) 11 + -6x = 3 + (-4 + -12x) Combine like terms: 3 + -4 = -1 11 + -6x = -1 + -12x Solving 11 + -6x = -1 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 11 + -6x + 12x = -1 + -12x + 12x Combine like terms: -6x + 12x = 6x 11 + 6x = -1 + -12x + 12x Combine like terms: -12x + 12x = 0 11 + 6x = -1 + 0 11 + 6x = -1 Add '-11' to each side of the equation. 11 + -11 + 6x = -1 + -11 Combine like terms: 11 + -11 = 0 0 + 6x = -1 + -11 6x = -1 + -11 Combine like terms: -1 + -11 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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