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Simplifying (8x + -22) + (5x + 83) = 152 Reorder the terms: (-22 + 8x) + (5x + 83) = 152 Remove parenthesis around (-22 + 8x) -22 + 8x + (5x + 83) = 152 Reorder the terms: -22 + 8x + (83 + 5x) = 152 Remove parenthesis around (83 + 5x) -22 + 8x + 83 + 5x = 152 Reorder the terms: -22 + 83 + 8x + 5x = 152 Combine like terms: -22 + 83 = 61 61 + 8x + 5x = 152 Combine like terms: 8x + 5x = 13x 61 + 13x = 152 Solving 61 + 13x = 152 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-61' to each side of the equation. 61 + -61 + 13x = 152 + -61 Combine like terms: 61 + -61 = 0 0 + 13x = 152 + -61 13x = 152 + -61 Combine like terms: 152 + -61 = 91 13x = 91 Divide each side by '13'. x = 7 Simplifying x = 7
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