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Simplifying 64 = -8(x + -4) + -4(5x + 6) Reorder the terms: 64 = -8(-4 + x) + -4(5x + 6) 64 = (-4 * -8 + x * -8) + -4(5x + 6) 64 = (32 + -8x) + -4(5x + 6) Reorder the terms: 64 = 32 + -8x + -4(6 + 5x) 64 = 32 + -8x + (6 * -4 + 5x * -4) 64 = 32 + -8x + (-24 + -20x) Reorder the terms: 64 = 32 + -24 + -8x + -20x Combine like terms: 32 + -24 = 8 64 = 8 + -8x + -20x Combine like terms: -8x + -20x = -28x 64 = 8 + -28x Solving 64 = 8 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. 64 + 28x = 8 + -28x + 28x Combine like terms: -28x + 28x = 0 64 + 28x = 8 + 0 64 + 28x = 8 Add '-64' to each side of the equation. 64 + -64 + 28x = 8 + -64 Combine like terms: 64 + -64 = 0 0 + 28x = 8 + -64 28x = 8 + -64 Combine like terms: 8 + -64 = -56 28x = -56 Divide each side by '28'. x = -2 Simplifying x = -2
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