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Simplifying 5x + 4x + -32 = 48 + -7x Reorder the terms: -32 + 5x + 4x = 48 + -7x Combine like terms: 5x + 4x = 9x -32 + 9x = 48 + -7x Solving -32 + 9x = 48 + -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 = 48 + -7x + 7x Combine like terms: 9x + 7x = 16x -32 + 16x = 48 + -7x + 7x Combine like terms: -7x + 7x = 0 -32 + 16x = 48 + 0 -32 + 16x = 48 Add '32' to each side of the equation. -32 + 32 + 16x = 48 + 32 Combine like terms: -32 + 32 = 0 0 + 16x = 48 + 32 16x = 48 + 32 Combine like terms: 48 + 32 = 80 16x = 80 Divide each side by '16'. x = 5 Simplifying x = 5
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