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Simplifying 3(7 + -2x) + -12 = 8 + -7x (7 * 3 + -2x * 3) + -12 = 8 + -7x (21 + -6x) + -12 = 8 + -7x Reorder the terms: 21 + -12 + -6x = 8 + -7x Combine like terms: 21 + -12 = 9 9 + -6x = 8 + -7x Solving 9 + -6x = 8 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 9 + -6x + 7x = 8 + -7x + 7x Combine like terms: -6x + 7x = 1x 9 + 1x = 8 + -7x + 7x Combine like terms: -7x + 7x = 0 9 + 1x = 8 + 0 9 + 1x = 8 Add '-9' to each side of the equation. 9 + -9 + 1x = 8 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 8 + -9 1x = 8 + -9 Combine like terms: 8 + -9 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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