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Simplifying 4x + 5x + -48 = 32 + -7x Reorder the terms: -48 + 4x + 5x = 32 + -7x Combine like terms: 4x + 5x = 9x -48 + 9x = 32 + -7x Solving -48 + 9x = 32 + -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. -48 + 9x + 7x = 32 + -7x + 7x Combine like terms: 9x + 7x = 16x -48 + 16x = 32 + -7x + 7x Combine like terms: -7x + 7x = 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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