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Simplifying 6(x + -2) + 5(2x + 4) = 0 Reorder the terms: 6(-2 + x) + 5(2x + 4) = 0 (-2 * 6 + x * 6) + 5(2x + 4) = 0 (-12 + 6x) + 5(2x + 4) = 0 Reorder the terms: -12 + 6x + 5(4 + 2x) = 0 -12 + 6x + (4 * 5 + 2x * 5) = 0 -12 + 6x + (20 + 10x) = 0 Reorder the terms: -12 + 20 + 6x + 10x = 0 Combine like terms: -12 + 20 = 8 8 + 6x + 10x = 0 Combine like terms: 6x + 10x = 16x 8 + 16x = 0 Solving 8 + 16x = 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 + 16x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 16x = 0 + -8 16x = 0 + -8 Combine like terms: 0 + -8 = -8 16x = -8 Divide each side by '16'. x = -0.5 Simplifying x = -0.5
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