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Simplifying 7(x + 9) + -2(x + -5) = 83 Reorder the terms: 7(9 + x) + -2(x + -5) = 83 (9 * 7 + x * 7) + -2(x + -5) = 83 (63 + 7x) + -2(x + -5) = 83 Reorder the terms: 63 + 7x + -2(-5 + x) = 83 63 + 7x + (-5 * -2 + x * -2) = 83 63 + 7x + (10 + -2x) = 83 Reorder the terms: 63 + 10 + 7x + -2x = 83 Combine like terms: 63 + 10 = 73 73 + 7x + -2x = 83 Combine like terms: 7x + -2x = 5x 73 + 5x = 83 Solving 73 + 5x = 83 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-73' to each side of the equation. 73 + -73 + 5x = 83 + -73 Combine like terms: 73 + -73 = 0 0 + 5x = 83 + -73 5x = 83 + -73 Combine like terms: 83 + -73 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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