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Simplifying 7x + 11 = 5(2x + 1) Reorder the terms: 11 + 7x = 5(2x + 1) Reorder the terms: 11 + 7x = 5(1 + 2x) 11 + 7x = (1 * 5 + 2x * 5) 11 + 7x = (5 + 10x) Solving 11 + 7x = 5 + 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. 11 + 7x + -10x = 5 + 10x + -10x Combine like terms: 7x + -10x = -3x 11 + -3x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 11 + -3x = 5 + 0 11 + -3x = 5 Add '-11' to each side of the equation. 11 + -11 + -3x = 5 + -11 Combine like terms: 11 + -11 = 0 0 + -3x = 5 + -11 -3x = 5 + -11 Combine like terms: 5 + -11 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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