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Simplifying 20 + -3(2x + -7) = 5(x + 5) + -6 Reorder the terms: 20 + -3(-7 + 2x) = 5(x + 5) + -6 20 + (-7 * -3 + 2x * -3) = 5(x + 5) + -6 20 + (21 + -6x) = 5(x + 5) + -6 Combine like terms: 20 + 21 = 41 41 + -6x = 5(x + 5) + -6 Reorder the terms: 41 + -6x = 5(5 + x) + -6 41 + -6x = (5 * 5 + x * 5) + -6 41 + -6x = (25 + 5x) + -6 Reorder the terms: 41 + -6x = 25 + -6 + 5x Combine like terms: 25 + -6 = 19 41 + -6x = 19 + 5x Solving 41 + -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. 41 + -6x + -5x = 19 + 5x + -5x Combine like terms: -6x + -5x = -11x 41 + -11x = 19 + 5x + -5x Combine like terms: 5x + -5x = 0 41 + -11x = 19 + 0 41 + -11x = 19 Add '-41' to each side of the equation. 41 + -41 + -11x = 19 + -41 Combine like terms: 41 + -41 = 0 0 + -11x = 19 + -41 -11x = 19 + -41 Combine like terms: 19 + -41 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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