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Simplifying 6x + 4x + -32 = 80 + -6x Reorder the terms: -32 + 6x + 4x = 80 + -6x Combine like terms: 6x + 4x = 10x -32 + 10x = 80 + -6x Solving -32 + 10x = 80 + -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. -32 + 10x + 6x = 80 + -6x + 6x Combine like terms: 10x + 6x = 16x -32 + 16x = 80 + -6x + 6x Combine like terms: -6x + 6x = 0 -32 + 16x = 80 + 0 -32 + 16x = 80 Add '32' to each side of the equation. -32 + 32 + 16x = 80 + 32 Combine like terms: -32 + 32 = 0 0 + 16x = 80 + 32 16x = 80 + 32 Combine like terms: 80 + 32 = 112 16x = 112 Divide each side by '16'. x = 7 Simplifying x = 7
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