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Simplifying 90 = (5x + -13) + (6x + -62) Reorder the terms: 90 = (-13 + 5x) + (6x + -62) Remove parenthesis around (-13 + 5x) 90 = -13 + 5x + (6x + -62) Reorder the terms: 90 = -13 + 5x + (-62 + 6x) Remove parenthesis around (-62 + 6x) 90 = -13 + 5x + -62 + 6x Reorder the terms: 90 = -13 + -62 + 5x + 6x Combine like terms: -13 + -62 = -75 90 = -75 + 5x + 6x Combine like terms: 5x + 6x = 11x 90 = -75 + 11x Solving 90 = -75 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 90 + -11x = -75 + 11x + -11x Combine like terms: 11x + -11x = 0 90 + -11x = -75 + 0 90 + -11x = -75 Add '-90' to each side of the equation. 90 + -90 + -11x = -75 + -90 Combine like terms: 90 + -90 = 0 0 + -11x = -75 + -90 -11x = -75 + -90 Combine like terms: -75 + -90 = -165 -11x = -165 Divide each side by '-11'. x = 15 Simplifying x = 15
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