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Simplifying 4(x + -2) + 6(x + -4) = 0 Reorder the terms: 4(-2 + x) + 6(x + -4) = 0 (-2 * 4 + x * 4) + 6(x + -4) = 0 (-8 + 4x) + 6(x + -4) = 0 Reorder the terms: -8 + 4x + 6(-4 + x) = 0 -8 + 4x + (-4 * 6 + x * 6) = 0 -8 + 4x + (-24 + 6x) = 0 Reorder the terms: -8 + -24 + 4x + 6x = 0 Combine like terms: -8 + -24 = -32 -32 + 4x + 6x = 0 Combine like terms: 4x + 6x = 10x -32 + 10x = 0 Solving -32 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 10x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 10x = 0 + 32 10x = 0 + 32 Combine like terms: 0 + 32 = 32 10x = 32 Divide each side by '10'. x = 3.2 Simplifying x = 3.2
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