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Simplifying 10 + -3(2x + -7) = 5(x + 5) + -6 Reorder the terms: 10 + -3(-7 + 2x) = 5(x + 5) + -6 10 + (-7 * -3 + 2x * -3) = 5(x + 5) + -6 10 + (21 + -6x) = 5(x + 5) + -6 Combine like terms: 10 + 21 = 31 31 + -6x = 5(x + 5) + -6 Reorder the terms: 31 + -6x = 5(5 + x) + -6 31 + -6x = (5 * 5 + x * 5) + -6 31 + -6x = (25 + 5x) + -6 Reorder the terms: 31 + -6x = 25 + -6 + 5x Combine like terms: 25 + -6 = 19 31 + -6x = 19 + 5x Solving 31 + -6x = 19 + 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. 31 + -6x + -5x = 19 + 5x + -5x Combine like terms: -6x + -5x = -11x 31 + -11x = 19 + 5x + -5x Combine like terms: 5x + -5x = 0 31 + -11x = 19 + 0 31 + -11x = 19 Add '-31' to each side of the equation. 31 + -31 + -11x = 19 + -31 Combine like terms: 31 + -31 = 0 0 + -11x = 19 + -31 -11x = 19 + -31 Combine like terms: 19 + -31 = -12 -11x = -12 Divide each side by '-11'. x = 1.090909091 Simplifying x = 1.090909091
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