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Simplifying 10 + -2(3x + -7) = 3 + (5x + 9) Reorder the terms: 10 + -2(-7 + 3x) = 3 + (5x + 9) 10 + (-7 * -2 + 3x * -2) = 3 + (5x + 9) 10 + (14 + -6x) = 3 + (5x + 9) Combine like terms: 10 + 14 = 24 24 + -6x = 3 + (5x + 9) Reorder the terms: 24 + -6x = 3 + (9 + 5x) Remove parenthesis around (9 + 5x) 24 + -6x = 3 + 9 + 5x Combine like terms: 3 + 9 = 12 24 + -6x = 12 + 5x Solving 24 + -6x = 12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 24 + -6x + -5x = 12 + 5x + -5x Combine like terms: -6x + -5x = -11x 24 + -11x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + -11x = 12 + 0 24 + -11x = 12 Add '-24' to each side of the equation. 24 + -24 + -11x = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -11x = 12 + -24 -11x = 12 + -24 Combine like terms: 12 + -24 = -12 -11x = -12 Divide each side by '-11'. x = 1.090909091 Simplifying x = 1.090909091
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