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Simplifying 4(x + 5) = 9c + 3 + -5x + 17 Reorder the terms: 4(5 + x) = 9c + 3 + -5x + 17 (5 * 4 + x * 4) = 9c + 3 + -5x + 17 (20 + 4x) = 9c + 3 + -5x + 17 Reorder the terms: 20 + 4x = 3 + 17 + 9c + -5x Combine like terms: 3 + 17 = 20 20 + 4x = 20 + 9c + -5x Add '-20' to each side of the equation. 20 + -20 + 4x = 20 + 9c + -20 + -5x Combine like terms: 20 + -20 = 0 0 + 4x = 20 + 9c + -20 + -5x 4x = 20 + 9c + -20 + -5x Reorder the terms: 4x = 20 + -20 + 9c + -5x Combine like terms: 20 + -20 = 0 4x = 0 + 9c + -5x 4x = 9c + -5x Solving 4x = 9c + -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. 4x + 5x = 9c + -5x + 5x Combine like terms: 4x + 5x = 9x 9x = 9c + -5x + 5x Combine like terms: -5x + 5x = 0 9x = 9c + 0 9x = 9c Divide each side by '9'. x = c Simplifying x = c
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