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Simplifying 59 + -1(5x + 7) = 5(x + 6) + x Reorder the terms: 59 + -1(7 + 5x) = 5(x + 6) + x 59 + (7 * -1 + 5x * -1) = 5(x + 6) + x 59 + (-7 + -5x) = 5(x + 6) + x Combine like terms: 59 + -7 = 52 52 + -5x = 5(x + 6) + x Reorder the terms: 52 + -5x = 5(6 + x) + x 52 + -5x = (6 * 5 + x * 5) + x 52 + -5x = (30 + 5x) + x Combine like terms: 5x + x = 6x 52 + -5x = 30 + 6x Solving 52 + -5x = 30 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 52 + -5x + -6x = 30 + 6x + -6x Combine like terms: -5x + -6x = -11x 52 + -11x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 52 + -11x = 30 + 0 52 + -11x = 30 Add '-52' to each side of the equation. 52 + -52 + -11x = 30 + -52 Combine like terms: 52 + -52 = 0 0 + -11x = 30 + -52 -11x = 30 + -52 Combine like terms: 30 + -52 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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