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Simplifying 10x + 9 = 3 + -2(x + -5) Reorder the terms: 9 + 10x = 3 + -2(x + -5) Reorder the terms: 9 + 10x = 3 + -2(-5 + x) 9 + 10x = 3 + (-5 * -2 + x * -2) 9 + 10x = 3 + (10 + -2x) Combine like terms: 3 + 10 = 13 9 + 10x = 13 + -2x Solving 9 + 10x = 13 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 9 + 10x + 2x = 13 + -2x + 2x Combine like terms: 10x + 2x = 12x 9 + 12x = 13 + -2x + 2x Combine like terms: -2x + 2x = 0 9 + 12x = 13 + 0 9 + 12x = 13 Add '-9' to each side of the equation. 9 + -9 + 12x = 13 + -9 Combine like terms: 9 + -9 = 0 0 + 12x = 13 + -9 12x = 13 + -9 Combine like terms: 13 + -9 = 4 12x = 4 Divide each side by '12'. x = 0.3333333333 Simplifying x = 0.3333333333
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