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Simplifying 4x + 7x + -48 = 32 + -5x Reorder the terms: -48 + 4x + 7x = 32 + -5x Combine like terms: 4x + 7x = 11x -48 + 11x = 32 + -5x Solving -48 + 11x = 32 + -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. -48 + 11x + 5x = 32 + -5x + 5x Combine like terms: 11x + 5x = 16x -48 + 16x = 32 + -5x + 5x Combine like terms: -5x + 5x = 0 -48 + 16x = 32 + 0 -48 + 16x = 32 Add '48' to each side of the equation. -48 + 48 + 16x = 32 + 48 Combine like terms: -48 + 48 = 0 0 + 16x = 32 + 48 16x = 32 + 48 Combine like terms: 32 + 48 = 80 16x = 80 Divide each side by '16'. x = 5 Simplifying x = 5
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