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Simplifying 4(x + -2) + 6(x + 2) = 0 Reorder the terms: 4(-2 + x) + 6(x + 2) = 0 (-2 * 4 + x * 4) + 6(x + 2) = 0 (-8 + 4x) + 6(x + 2) = 0 Reorder the terms: -8 + 4x + 6(2 + x) = 0 -8 + 4x + (2 * 6 + x * 6) = 0 -8 + 4x + (12 + 6x) = 0 Reorder the terms: -8 + 12 + 4x + 6x = 0 Combine like terms: -8 + 12 = 4 4 + 4x + 6x = 0 Combine like terms: 4x + 6x = 10x 4 + 10x = 0 Solving 4 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 10x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 10x = 0 + -4 10x = 0 + -4 Combine like terms: 0 + -4 = -4 10x = -4 Divide each side by '10'. x = -0.4 Simplifying x = -0.4
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