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Simplifying 4x + 7x + -32 = 64 + -5x Reorder the terms: -32 + 4x + 7x = 64 + -5x Combine like terms: 4x + 7x = 11x -32 + 11x = 64 + -5x Solving -32 + 11x = 64 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -32 + 11x + 5x = 64 + -5x + 5x Combine like terms: 11x + 5x = 16x -32 + 16x = 64 + -5x + 5x Combine like terms: -5x + 5x = 0 -32 + 16x = 64 + 0 -32 + 16x = 64 Add '32' to each side of the equation. -32 + 32 + 16x = 64 + 32 Combine like terms: -32 + 32 = 0 0 + 16x = 64 + 32 16x = 64 + 32 Combine like terms: 64 + 32 = 96 16x = 96 Divide each side by '16'. x = 6 Simplifying x = 6
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