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Simplifying 6x + 76 = 2(2x + 42) Reorder the terms: 76 + 6x = 2(2x + 42) Reorder the terms: 76 + 6x = 2(42 + 2x) 76 + 6x = (42 * 2 + 2x * 2) 76 + 6x = (84 + 4x) Solving 76 + 6x = 84 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 76 + 6x + -4x = 84 + 4x + -4x Combine like terms: 6x + -4x = 2x 76 + 2x = 84 + 4x + -4x Combine like terms: 4x + -4x = 0 76 + 2x = 84 + 0 76 + 2x = 84 Add '-76' to each side of the equation. 76 + -76 + 2x = 84 + -76 Combine like terms: 76 + -76 = 0 0 + 2x = 84 + -76 2x = 84 + -76 Combine like terms: 84 + -76 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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