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Simplifying 2(x + -2) + 4(x + 5) = 0 Reorder the terms: 2(-2 + x) + 4(x + 5) = 0 (-2 * 2 + x * 2) + 4(x + 5) = 0 (-4 + 2x) + 4(x + 5) = 0 Reorder the terms: -4 + 2x + 4(5 + x) = 0 -4 + 2x + (5 * 4 + x * 4) = 0 -4 + 2x + (20 + 4x) = 0 Reorder the terms: -4 + 20 + 2x + 4x = 0 Combine like terms: -4 + 20 = 16 16 + 2x + 4x = 0 Combine like terms: 2x + 4x = 6x 16 + 6x = 0 Solving 16 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 6x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 6x = 0 + -16 6x = 0 + -16 Combine like terms: 0 + -16 = -16 6x = -16 Divide each side by '6'. x = -2.666666667 Simplifying x = -2.666666667
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