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Simplifying 5(2x + 1) + 7(2x + 1) = 84 Reorder the terms: 5(1 + 2x) + 7(2x + 1) = 84 (1 * 5 + 2x * 5) + 7(2x + 1) = 84 (5 + 10x) + 7(2x + 1) = 84 Reorder the terms: 5 + 10x + 7(1 + 2x) = 84 5 + 10x + (1 * 7 + 2x * 7) = 84 5 + 10x + (7 + 14x) = 84 Reorder the terms: 5 + 7 + 10x + 14x = 84 Combine like terms: 5 + 7 = 12 12 + 10x + 14x = 84 Combine like terms: 10x + 14x = 24x 12 + 24x = 84 Solving 12 + 24x = 84 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 24x = 84 + -12 Combine like terms: 12 + -12 = 0 0 + 24x = 84 + -12 24x = 84 + -12 Combine like terms: 84 + -12 = 72 24x = 72 Divide each side by '24'. x = 3 Simplifying x = 3
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