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Simplifying 8(5x + -4) = 6(2x + 4) Reorder the terms: 8(-4 + 5x) = 6(2x + 4) (-4 * 8 + 5x * 8) = 6(2x + 4) (-32 + 40x) = 6(2x + 4) Reorder the terms: -32 + 40x = 6(4 + 2x) -32 + 40x = (4 * 6 + 2x * 6) -32 + 40x = (24 + 12x) Solving -32 + 40x = 24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -32 + 40x + -12x = 24 + 12x + -12x Combine like terms: 40x + -12x = 28x -32 + 28x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 -32 + 28x = 24 + 0 -32 + 28x = 24 Add '32' to each side of the equation. -32 + 32 + 28x = 24 + 32 Combine like terms: -32 + 32 = 0 0 + 28x = 24 + 32 28x = 24 + 32 Combine like terms: 24 + 32 = 56 28x = 56 Divide each side by '28'. x = 2 Simplifying x = 2
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