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Simplifying 6(3x + 5) + -4(2x + 1) = 76 Reorder the terms: 6(5 + 3x) + -4(2x + 1) = 76 (5 * 6 + 3x * 6) + -4(2x + 1) = 76 (30 + 18x) + -4(2x + 1) = 76 Reorder the terms: 30 + 18x + -4(1 + 2x) = 76 30 + 18x + (1 * -4 + 2x * -4) = 76 30 + 18x + (-4 + -8x) = 76 Reorder the terms: 30 + -4 + 18x + -8x = 76 Combine like terms: 30 + -4 = 26 26 + 18x + -8x = 76 Combine like terms: 18x + -8x = 10x 26 + 10x = 76 Solving 26 + 10x = 76 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 10x = 76 + -26 Combine like terms: 26 + -26 = 0 0 + 10x = 76 + -26 10x = 76 + -26 Combine like terms: 76 + -26 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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