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Simplifying 2(5x + 8) + -4(x + 6) = 0 Reorder the terms: 2(8 + 5x) + -4(x + 6) = 0 (8 * 2 + 5x * 2) + -4(x + 6) = 0 (16 + 10x) + -4(x + 6) = 0 Reorder the terms: 16 + 10x + -4(6 + x) = 0 16 + 10x + (6 * -4 + x * -4) = 0 16 + 10x + (-24 + -4x) = 0 Reorder the terms: 16 + -24 + 10x + -4x = 0 Combine like terms: 16 + -24 = -8 -8 + 10x + -4x = 0 Combine like terms: 10x + -4x = 6x -8 + 6x = 0 Solving -8 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 6x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = 0 + 8 6x = 0 + 8 Combine like terms: 0 + 8 = 8 6x = 8 Divide each side by '6'. x = 1.333333333 Simplifying x = 1.333333333
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