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Simplifying 74 = 2x + 2(2x + 13) Reorder the terms: 74 = 2x + 2(13 + 2x) 74 = 2x + (13 * 2 + 2x * 2) 74 = 2x + (26 + 4x) Reorder the terms: 74 = 26 + 2x + 4x Combine like terms: 2x + 4x = 6x 74 = 26 + 6x Solving 74 = 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. 74 + -6x = 26 + 6x + -6x Combine like terms: 6x + -6x = 0 74 + -6x = 26 + 0 74 + -6x = 26 Add '-74' to each side of the equation. 74 + -74 + -6x = 26 + -74 Combine like terms: 74 + -74 = 0 0 + -6x = 26 + -74 -6x = 26 + -74 Combine like terms: 26 + -74 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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