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Simplifying 42 = 2(2x + 3) + 2x Reorder the terms: 42 = 2(3 + 2x) + 2x 42 = (3 * 2 + 2x * 2) + 2x 42 = (6 + 4x) + 2x Combine like terms: 4x + 2x = 6x 42 = 6 + 6x Solving 42 = 6 + 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. 42 + -6x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 42 + -6x = 6 + 0 42 + -6x = 6 Add '-42' to each side of the equation. 42 + -42 + -6x = 6 + -42 Combine like terms: 42 + -42 = 0 0 + -6x = 6 + -42 -6x = 6 + -42 Combine like terms: 6 + -42 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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