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Simplifying 83 + 7x = 2(2x + 3) + 2(5x + 7) Reorder the terms: 83 + 7x = 2(3 + 2x) + 2(5x + 7) 83 + 7x = (3 * 2 + 2x * 2) + 2(5x + 7) 83 + 7x = (6 + 4x) + 2(5x + 7) Reorder the terms: 83 + 7x = 6 + 4x + 2(7 + 5x) 83 + 7x = 6 + 4x + (7 * 2 + 5x * 2) 83 + 7x = 6 + 4x + (14 + 10x) Reorder the terms: 83 + 7x = 6 + 14 + 4x + 10x Combine like terms: 6 + 14 = 20 83 + 7x = 20 + 4x + 10x Combine like terms: 4x + 10x = 14x 83 + 7x = 20 + 14x Solving 83 + 7x = 20 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 83 + 7x + -14x = 20 + 14x + -14x Combine like terms: 7x + -14x = -7x 83 + -7x = 20 + 14x + -14x Combine like terms: 14x + -14x = 0 83 + -7x = 20 + 0 83 + -7x = 20 Add '-83' to each side of the equation. 83 + -83 + -7x = 20 + -83 Combine like terms: 83 + -83 = 0 0 + -7x = 20 + -83 -7x = 20 + -83 Combine like terms: 20 + -83 = -63 -7x = -63 Divide each side by '-7'. x = 9 Simplifying x = 9
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