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Simplifying 2(x + -4) = 32 + -6x Reorder the terms: 2(-4 + x) = 32 + -6x (-4 * 2 + x * 2) = 32 + -6x (-8 + 2x) = 32 + -6x Solving -8 + 2x = 32 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -8 + 2x + 6x = 32 + -6x + 6x Combine like terms: 2x + 6x = 8x -8 + 8x = 32 + -6x + 6x Combine like terms: -6x + 6x = 0 -8 + 8x = 32 + 0 -8 + 8x = 32 Add '8' to each side of the equation. -8 + 8 + 8x = 32 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = 32 + 8 8x = 32 + 8 Combine like terms: 32 + 8 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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