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Simplifying 302 = (x + 3) * 2 + (2x + 10) * 2 Reorder the terms: 302 = (3 + x) * 2 + (2x + 10) * 2 Reorder the terms for easier multiplication: 302 = 2(3 + x) + (2x + 10) * 2 302 = (3 * 2 + x * 2) + (2x + 10) * 2 302 = (6 + 2x) + (2x + 10) * 2 Reorder the terms: 302 = 6 + 2x + (10 + 2x) * 2 Reorder the terms for easier multiplication: 302 = 6 + 2x + 2(10 + 2x) 302 = 6 + 2x + (10 * 2 + 2x * 2) 302 = 6 + 2x + (20 + 4x) Reorder the terms: 302 = 6 + 20 + 2x + 4x Combine like terms: 6 + 20 = 26 302 = 26 + 2x + 4x Combine like terms: 2x + 4x = 6x 302 = 26 + 6x Solving 302 = 26 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 302 + -6x = 26 + 6x + -6x Combine like terms: 6x + -6x = 0 302 + -6x = 26 + 0 302 + -6x = 26 Add '-302' to each side of the equation. 302 + -302 + -6x = 26 + -302 Combine like terms: 302 + -302 = 0 0 + -6x = 26 + -302 -6x = 26 + -302 Combine like terms: 26 + -302 = -276 -6x = -276 Divide each side by '-6'. x = 46 Simplifying x = 46
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