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Simplifying 6x + 7(-1x + 12) = 79 Reorder the terms: 6x + 7(12 + -1x) = 79 6x + (12 * 7 + -1x * 7) = 79 6x + (84 + -7x) = 79 Reorder the terms: 84 + 6x + -7x = 79 Combine like terms: 6x + -7x = -1x 84 + -1x = 79 Solving 84 + -1x = 79 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + -1x = 79 + -84 Combine like terms: 84 + -84 = 0 0 + -1x = 79 + -84 -1x = 79 + -84 Combine like terms: 79 + -84 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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