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Simplifying 84 = 7(5x + 2) Reorder the terms: 84 = 7(2 + 5x) 84 = (2 * 7 + 5x * 7) 84 = (14 + 35x) Solving 84 = 14 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 84 + -35x = 14 + 35x + -35x Combine like terms: 35x + -35x = 0 84 + -35x = 14 + 0 84 + -35x = 14 Add '-84' to each side of the equation. 84 + -84 + -35x = 14 + -84 Combine like terms: 84 + -84 = 0 0 + -35x = 14 + -84 -35x = 14 + -84 Combine like terms: 14 + -84 = -70 -35x = -70 Divide each side by '-35'. x = 2 Simplifying x = 2
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