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Simplifying 6x + -24 = -2x + 32 Reorder the terms: -24 + 6x = -2x + 32 Reorder the terms: -24 + 6x = 32 + -2x Solving -24 + 6x = 32 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -24 + 6x + 2x = 32 + -2x + 2x Combine like terms: 6x + 2x = 8x -24 + 8x = 32 + -2x + 2x Combine like terms: -2x + 2x = 0 -24 + 8x = 32 + 0 -24 + 8x = 32 Add '24' to each side of the equation. -24 + 24 + 8x = 32 + 24 Combine like terms: -24 + 24 = 0 0 + 8x = 32 + 24 8x = 32 + 24 Combine like terms: 32 + 24 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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