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Simplifying 7x + -4 + 8x + 21 + -4x = 6x + 32 Reorder the terms: -4 + 21 + 7x + 8x + -4x = 6x + 32 Combine like terms: -4 + 21 = 17 17 + 7x + 8x + -4x = 6x + 32 Combine like terms: 7x + 8x = 15x 17 + 15x + -4x = 6x + 32 Combine like terms: 15x + -4x = 11x 17 + 11x = 6x + 32 Reorder the terms: 17 + 11x = 32 + 6x Solving 17 + 11x = 32 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 17 + 11x + -6x = 32 + 6x + -6x Combine like terms: 11x + -6x = 5x 17 + 5x = 32 + 6x + -6x Combine like terms: 6x + -6x = 0 17 + 5x = 32 + 0 17 + 5x = 32 Add '-17' to each side of the equation. 17 + -17 + 5x = 32 + -17 Combine like terms: 17 + -17 = 0 0 + 5x = 32 + -17 5x = 32 + -17 Combine like terms: 32 + -17 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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