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Simplifying 5 + 7(2 + -5x) = 2(9x + 1) + -1(13x + -57) 5 + (2 * 7 + -5x * 7) = 2(9x + 1) + -1(13x + -57) 5 + (14 + -35x) = 2(9x + 1) + -1(13x + -57) Combine like terms: 5 + 14 = 19 19 + -35x = 2(9x + 1) + -1(13x + -57) Reorder the terms: 19 + -35x = 2(1 + 9x) + -1(13x + -57) 19 + -35x = (1 * 2 + 9x * 2) + -1(13x + -57) 19 + -35x = (2 + 18x) + -1(13x + -57) Reorder the terms: 19 + -35x = 2 + 18x + -1(-57 + 13x) 19 + -35x = 2 + 18x + (-57 * -1 + 13x * -1) 19 + -35x = 2 + 18x + (57 + -13x) Reorder the terms: 19 + -35x = 2 + 57 + 18x + -13x Combine like terms: 2 + 57 = 59 19 + -35x = 59 + 18x + -13x Combine like terms: 18x + -13x = 5x 19 + -35x = 59 + 5x Solving 19 + -35x = 59 + 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. 19 + -35x + -5x = 59 + 5x + -5x Combine like terms: -35x + -5x = -40x 19 + -40x = 59 + 5x + -5x Combine like terms: 5x + -5x = 0 19 + -40x = 59 + 0 19 + -40x = 59 Add '-19' to each side of the equation. 19 + -19 + -40x = 59 + -19 Combine like terms: 19 + -19 = 0 0 + -40x = 59 + -19 -40x = 59 + -19 Combine like terms: 59 + -19 = 40 -40x = 40 Divide each side by '-40'. x = -1 Simplifying x = -1
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