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Simplifying 6(x + -4) + -1(2x + 8) = -32 Reorder the terms: 6(-4 + x) + -1(2x + 8) = -32 (-4 * 6 + x * 6) + -1(2x + 8) = -32 (-24 + 6x) + -1(2x + 8) = -32 Reorder the terms: -24 + 6x + -1(8 + 2x) = -32 -24 + 6x + (8 * -1 + 2x * -1) = -32 -24 + 6x + (-8 + -2x) = -32 Reorder the terms: -24 + -8 + 6x + -2x = -32 Combine like terms: -24 + -8 = -32 -32 + 6x + -2x = -32 Combine like terms: 6x + -2x = 4x -32 + 4x = -32 Add '32' to each side of the equation. -32 + 32 + 4x = -32 + 32 Combine like terms: -32 + 32 = 0 0 + 4x = -32 + 32 4x = -32 + 32 Combine like terms: -32 + 32 = 0 4x = 0 Solving 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '4'. x = 0 Simplifying x = 0
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