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Simplifying 7(6x + 12) = 12 + -1(x + 2) Reorder the terms: 7(12 + 6x) = 12 + -1(x + 2) (12 * 7 + 6x * 7) = 12 + -1(x + 2) (84 + 42x) = 12 + -1(x + 2) Reorder the terms: 84 + 42x = 12 + -1(2 + x) 84 + 42x = 12 + (2 * -1 + x * -1) 84 + 42x = 12 + (-2 + -1x) Combine like terms: 12 + -2 = 10 84 + 42x = 10 + -1x Solving 84 + 42x = 10 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 84 + 42x + x = 10 + -1x + x Combine like terms: 42x + x = 43x 84 + 43x = 10 + -1x + x Combine like terms: -1x + x = 0 84 + 43x = 10 + 0 84 + 43x = 10 Add '-84' to each side of the equation. 84 + -84 + 43x = 10 + -84 Combine like terms: 84 + -84 = 0 0 + 43x = 10 + -84 43x = 10 + -84 Combine like terms: 10 + -84 = -74 43x = -74 Divide each side by '43'. x = -1.720930233 Simplifying x = -1.720930233
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