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Simplifying 8(5x + 1) + -6(2x + 4) = 64 Reorder the terms: 8(1 + 5x) + -6(2x + 4) = 64 (1 * 8 + 5x * 8) + -6(2x + 4) = 64 (8 + 40x) + -6(2x + 4) = 64 Reorder the terms: 8 + 40x + -6(4 + 2x) = 64 8 + 40x + (4 * -6 + 2x * -6) = 64 8 + 40x + (-24 + -12x) = 64 Reorder the terms: 8 + -24 + 40x + -12x = 64 Combine like terms: 8 + -24 = -16 -16 + 40x + -12x = 64 Combine like terms: 40x + -12x = 28x -16 + 28x = 64 Solving -16 + 28x = 64 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 28x = 64 + 16 Combine like terms: -16 + 16 = 0 0 + 28x = 64 + 16 28x = 64 + 16 Combine like terms: 64 + 16 = 80 28x = 80 Divide each side by '28'. x = 2.857142857 Simplifying x = 2.857142857
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