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Simplifying 8(5x + -4) = 6(5x + -4) Reorder the terms: 8(-4 + 5x) = 6(5x + -4) (-4 * 8 + 5x * 8) = 6(5x + -4) (-32 + 40x) = 6(5x + -4) Reorder the terms: -32 + 40x = 6(-4 + 5x) -32 + 40x = (-4 * 6 + 5x * 6) -32 + 40x = (-24 + 30x) Solving -32 + 40x = -24 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -32 + 40x + -30x = -24 + 30x + -30x Combine like terms: 40x + -30x = 10x -32 + 10x = -24 + 30x + -30x Combine like terms: 30x + -30x = 0 -32 + 10x = -24 + 0 -32 + 10x = -24 Add '32' to each side of the equation. -32 + 32 + 10x = -24 + 32 Combine like terms: -32 + 32 = 0 0 + 10x = -24 + 32 10x = -24 + 32 Combine like terms: -24 + 32 = 8 10x = 8 Divide each side by '10'. x = 0.8 Simplifying x = 0.8
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