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Simplifying 4(6x + -6) = 2(5x + 4) Reorder the terms: 4(-6 + 6x) = 2(5x + 4) (-6 * 4 + 6x * 4) = 2(5x + 4) (-24 + 24x) = 2(5x + 4) Reorder the terms: -24 + 24x = 2(4 + 5x) -24 + 24x = (4 * 2 + 5x * 2) -24 + 24x = (8 + 10x) Solving -24 + 24x = 8 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -24 + 24x + -10x = 8 + 10x + -10x Combine like terms: 24x + -10x = 14x -24 + 14x = 8 + 10x + -10x Combine like terms: 10x + -10x = 0 -24 + 14x = 8 + 0 -24 + 14x = 8 Add '24' to each side of the equation. -24 + 24 + 14x = 8 + 24 Combine like terms: -24 + 24 = 0 0 + 14x = 8 + 24 14x = 8 + 24 Combine like terms: 8 + 24 = 32 14x = 32 Divide each side by '14'. x = 2.285714286 Simplifying x = 2.285714286
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