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Simplifying 5(x + 4) + 2 = 9x + 5(x + 2) Reorder the terms: 5(4 + x) + 2 = 9x + 5(x + 2) (4 * 5 + x * 5) + 2 = 9x + 5(x + 2) (20 + 5x) + 2 = 9x + 5(x + 2) Reorder the terms: 20 + 2 + 5x = 9x + 5(x + 2) Combine like terms: 20 + 2 = 22 22 + 5x = 9x + 5(x + 2) Reorder the terms: 22 + 5x = 9x + 5(2 + x) 22 + 5x = 9x + (2 * 5 + x * 5) 22 + 5x = 9x + (10 + 5x) Reorder the terms: 22 + 5x = 10 + 9x + 5x Combine like terms: 9x + 5x = 14x 22 + 5x = 10 + 14x Solving 22 + 5x = 10 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 22 + 5x + -14x = 10 + 14x + -14x Combine like terms: 5x + -14x = -9x 22 + -9x = 10 + 14x + -14x Combine like terms: 14x + -14x = 0 22 + -9x = 10 + 0 22 + -9x = 10 Add '-22' to each side of the equation. 22 + -22 + -9x = 10 + -22 Combine like terms: 22 + -22 = 0 0 + -9x = 10 + -22 -9x = 10 + -22 Combine like terms: 10 + -22 = -12 -9x = -12 Divide each side by '-9'. x = 1.333333333 Simplifying x = 1.333333333
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