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Simplifying 12(x + 7) = 10x + -14 Reorder the terms: 12(7 + x) = 10x + -14 (7 * 12 + x * 12) = 10x + -14 (84 + 12x) = 10x + -14 Reorder the terms: 84 + 12x = -14 + 10x Solving 84 + 12x = -14 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 84 + 12x + -10x = -14 + 10x + -10x Combine like terms: 12x + -10x = 2x 84 + 2x = -14 + 10x + -10x Combine like terms: 10x + -10x = 0 84 + 2x = -14 + 0 84 + 2x = -14 Add '-84' to each side of the equation. 84 + -84 + 2x = -14 + -84 Combine like terms: 84 + -84 = 0 0 + 2x = -14 + -84 2x = -14 + -84 Combine like terms: -14 + -84 = -98 2x = -98 Divide each side by '2'. x = -49 Simplifying x = -49
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