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Simplifying 9 + 4(x + 2) = 5(2x + 5) Reorder the terms: 9 + 4(2 + x) = 5(2x + 5) 9 + (2 * 4 + x * 4) = 5(2x + 5) 9 + (8 + 4x) = 5(2x + 5) Combine like terms: 9 + 8 = 17 17 + 4x = 5(2x + 5) Reorder the terms: 17 + 4x = 5(5 + 2x) 17 + 4x = (5 * 5 + 2x * 5) 17 + 4x = (25 + 10x) Solving 17 + 4x = 25 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 17 + 4x + -10x = 25 + 10x + -10x Combine like terms: 4x + -10x = -6x 17 + -6x = 25 + 10x + -10x Combine like terms: 10x + -10x = 0 17 + -6x = 25 + 0 17 + -6x = 25 Add '-17' to each side of the equation. 17 + -17 + -6x = 25 + -17 Combine like terms: 17 + -17 = 0 0 + -6x = 25 + -17 -6x = 25 + -17 Combine like terms: 25 + -17 = 8 -6x = 8 Divide each side by '-6'. x = -1.333333333 Simplifying x = -1.333333333
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