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Simplifying -3(4x + 8) + 4(x + -2) = 0 Reorder the terms: -3(8 + 4x) + 4(x + -2) = 0 (8 * -3 + 4x * -3) + 4(x + -2) = 0 (-24 + -12x) + 4(x + -2) = 0 Reorder the terms: -24 + -12x + 4(-2 + x) = 0 -24 + -12x + (-2 * 4 + x * 4) = 0 -24 + -12x + (-8 + 4x) = 0 Reorder the terms: -24 + -8 + -12x + 4x = 0 Combine like terms: -24 + -8 = -32 -32 + -12x + 4x = 0 Combine like terms: -12x + 4x = -8x -32 + -8x = 0 Solving -32 + -8x = 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 + -8x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -8x = 0 + 32 -8x = 0 + 32 Combine like terms: 0 + 32 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
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