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Simplifying 74 = 2(x + 4x + 7) Reorder the terms: 74 = 2(7 + x + 4x) Combine like terms: x + 4x = 5x 74 = 2(7 + 5x) 74 = (7 * 2 + 5x * 2) 74 = (14 + 10x) Solving 74 = 14 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 74 + -10x = 14 + 10x + -10x Combine like terms: 10x + -10x = 0 74 + -10x = 14 + 0 74 + -10x = 14 Add '-74' to each side of the equation. 74 + -74 + -10x = 14 + -74 Combine like terms: 74 + -74 = 0 0 + -10x = 14 + -74 -10x = 14 + -74 Combine like terms: 14 + -74 = -60 -10x = -60 Divide each side by '-10'. x = 6 Simplifying x = 6
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