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Simplifying (9x + 56) + (4x + 14) = 83 Reorder the terms: (56 + 9x) + (4x + 14) = 83 Remove parenthesis around (56 + 9x) 56 + 9x + (4x + 14) = 83 Reorder the terms: 56 + 9x + (14 + 4x) = 83 Remove parenthesis around (14 + 4x) 56 + 9x + 14 + 4x = 83 Reorder the terms: 56 + 14 + 9x + 4x = 83 Combine like terms: 56 + 14 = 70 70 + 9x + 4x = 83 Combine like terms: 9x + 4x = 13x 70 + 13x = 83 Solving 70 + 13x = 83 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + -70 + 13x = 83 + -70 Combine like terms: 70 + -70 = 0 0 + 13x = 83 + -70 13x = 83 + -70 Combine like terms: 83 + -70 = 13 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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