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Simplifying -12x + 59 = 7(-11 + 5x) + -5 Reorder the terms: 59 + -12x = 7(-11 + 5x) + -5 59 + -12x = (-11 * 7 + 5x * 7) + -5 59 + -12x = (-77 + 35x) + -5 Reorder the terms: 59 + -12x = -77 + -5 + 35x Combine like terms: -77 + -5 = -82 59 + -12x = -82 + 35x Solving 59 + -12x = -82 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 59 + -12x + -35x = -82 + 35x + -35x Combine like terms: -12x + -35x = -47x 59 + -47x = -82 + 35x + -35x Combine like terms: 35x + -35x = 0 59 + -47x = -82 + 0 59 + -47x = -82 Add '-59' to each side of the equation. 59 + -59 + -47x = -82 + -59 Combine like terms: 59 + -59 = 0 0 + -47x = -82 + -59 -47x = -82 + -59 Combine like terms: -82 + -59 = -141 -47x = -141 Divide each side by '-47'. x = 3 Simplifying x = 3
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