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Simplifying 4x + 5x + -32 = 80 + -7x Reorder the terms: -32 + 4x + 5x = 80 + -7x Combine like terms: 4x + 5x = 9x -32 + 9x = 80 + -7x Solving -32 + 9x = 80 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -32 + 9x + 7x = 80 + -7x + 7x Combine like terms: 9x + 7x = 16x -32 + 16x = 80 + -7x + 7x Combine like terms: -7x + 7x = 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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