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Simplifying 4x + -8x + 77 = 5x + 32 Reorder the terms: 77 + 4x + -8x = 5x + 32 Combine like terms: 4x + -8x = -4x 77 + -4x = 5x + 32 Reorder the terms: 77 + -4x = 32 + 5x Solving 77 + -4x = 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. 77 + -4x + -5x = 32 + 5x + -5x Combine like terms: -4x + -5x = -9x 77 + -9x = 32 + 5x + -5x Combine like terms: 5x + -5x = 0 77 + -9x = 32 + 0 77 + -9x = 32 Add '-77' to each side of the equation. 77 + -77 + -9x = 32 + -77 Combine like terms: 77 + -77 = 0 0 + -9x = 32 + -77 -9x = 32 + -77 Combine like terms: 32 + -77 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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