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Simplifying 10x + 5 = 9 + -1(3x + 2) Reorder the terms: 5 + 10x = 9 + -1(3x + 2) Reorder the terms: 5 + 10x = 9 + -1(2 + 3x) 5 + 10x = 9 + (2 * -1 + 3x * -1) 5 + 10x = 9 + (-2 + -3x) Combine like terms: 9 + -2 = 7 5 + 10x = 7 + -3x Solving 5 + 10x = 7 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 5 + 10x + 3x = 7 + -3x + 3x Combine like terms: 10x + 3x = 13x 5 + 13x = 7 + -3x + 3x Combine like terms: -3x + 3x = 0 5 + 13x = 7 + 0 5 + 13x = 7 Add '-5' to each side of the equation. 5 + -5 + 13x = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 13x = 7 + -5 13x = 7 + -5 Combine like terms: 7 + -5 = 2 13x = 2 Divide each side by '13'. x = 0.1538461538 Simplifying x = 0.1538461538
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