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Simplifying 10x + 5 = 9(3x + 2) Reorder the terms: 5 + 10x = 9(3x + 2) Reorder the terms: 5 + 10x = 9(2 + 3x) 5 + 10x = (2 * 9 + 3x * 9) 5 + 10x = (18 + 27x) Solving 5 + 10x = 18 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 5 + 10x + -27x = 18 + 27x + -27x Combine like terms: 10x + -27x = -17x 5 + -17x = 18 + 27x + -27x Combine like terms: 27x + -27x = 0 5 + -17x = 18 + 0 5 + -17x = 18 Add '-5' to each side of the equation. 5 + -5 + -17x = 18 + -5 Combine like terms: 5 + -5 = 0 0 + -17x = 18 + -5 -17x = 18 + -5 Combine like terms: 18 + -5 = 13 -17x = 13 Divide each side by '-17'. x = -0.7647058824 Simplifying x = -0.7647058824
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