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Simplifying 21 + -3(2x + -7) = 5(x + 5) + -2 Reorder the terms: 21 + -3(-7 + 2x) = 5(x + 5) + -2 21 + (-7 * -3 + 2x * -3) = 5(x + 5) + -2 21 + (21 + -6x) = 5(x + 5) + -2 Combine like terms: 21 + 21 = 42 42 + -6x = 5(x + 5) + -2 Reorder the terms: 42 + -6x = 5(5 + x) + -2 42 + -6x = (5 * 5 + x * 5) + -2 42 + -6x = (25 + 5x) + -2 Reorder the terms: 42 + -6x = 25 + -2 + 5x Combine like terms: 25 + -2 = 23 42 + -6x = 23 + 5x Solving 42 + -6x = 23 + 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. 42 + -6x + -5x = 23 + 5x + -5x Combine like terms: -6x + -5x = -11x 42 + -11x = 23 + 5x + -5x Combine like terms: 5x + -5x = 0 42 + -11x = 23 + 0 42 + -11x = 23 Add '-42' to each side of the equation. 42 + -42 + -11x = 23 + -42 Combine like terms: 42 + -42 = 0 0 + -11x = 23 + -42 -11x = 23 + -42 Combine like terms: 23 + -42 = -19 -11x = -19 Divide each side by '-11'. x = 1.727272727 Simplifying x = 1.727272727
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