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Simplifying 6(4x + 2) + 5(2x + -7) = 79 Reorder the terms: 6(2 + 4x) + 5(2x + -7) = 79 (2 * 6 + 4x * 6) + 5(2x + -7) = 79 (12 + 24x) + 5(2x + -7) = 79 Reorder the terms: 12 + 24x + 5(-7 + 2x) = 79 12 + 24x + (-7 * 5 + 2x * 5) = 79 12 + 24x + (-35 + 10x) = 79 Reorder the terms: 12 + -35 + 24x + 10x = 79 Combine like terms: 12 + -35 = -23 -23 + 24x + 10x = 79 Combine like terms: 24x + 10x = 34x -23 + 34x = 79 Solving -23 + 34x = 79 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 34x = 79 + 23 Combine like terms: -23 + 23 = 0 0 + 34x = 79 + 23 34x = 79 + 23 Combine like terms: 79 + 23 = 102 34x = 102 Divide each side by '34'. x = 3 Simplifying x = 3
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