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Simplifying 4x + 9(x + 1) = 20 + -5x Reorder the terms: 4x + 9(1 + x) = 20 + -5x 4x + (1 * 9 + x * 9) = 20 + -5x 4x + (9 + 9x) = 20 + -5x Reorder the terms: 9 + 4x + 9x = 20 + -5x Combine like terms: 4x + 9x = 13x 9 + 13x = 20 + -5x Solving 9 + 13x = 20 + -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. 9 + 13x + 5x = 20 + -5x + 5x Combine like terms: 13x + 5x = 18x 9 + 18x = 20 + -5x + 5x Combine like terms: -5x + 5x = 0 9 + 18x = 20 + 0 9 + 18x = 20 Add '-9' to each side of the equation. 9 + -9 + 18x = 20 + -9 Combine like terms: 9 + -9 = 0 0 + 18x = 20 + -9 18x = 20 + -9 Combine like terms: 20 + -9 = 11 18x = 11 Divide each side by '18'. x = 0.6111111111 Simplifying x = 0.6111111111
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