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Simplifying 2(7x + 11) = 10(x + 5) Reorder the terms: 2(11 + 7x) = 10(x + 5) (11 * 2 + 7x * 2) = 10(x + 5) (22 + 14x) = 10(x + 5) Reorder the terms: 22 + 14x = 10(5 + x) 22 + 14x = (5 * 10 + x * 10) 22 + 14x = (50 + 10x) Solving 22 + 14x = 50 + 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. 22 + 14x + -10x = 50 + 10x + -10x Combine like terms: 14x + -10x = 4x 22 + 4x = 50 + 10x + -10x Combine like terms: 10x + -10x = 0 22 + 4x = 50 + 0 22 + 4x = 50 Add '-22' to each side of the equation. 22 + -22 + 4x = 50 + -22 Combine like terms: 22 + -22 = 0 0 + 4x = 50 + -22 4x = 50 + -22 Combine like terms: 50 + -22 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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