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Simplifying 5(x + 1) + 2 = 3x + 11 Reorder the terms: 5(1 + x) + 2 = 3x + 11 (1 * 5 + x * 5) + 2 = 3x + 11 (5 + 5x) + 2 = 3x + 11 Reorder the terms: 5 + 2 + 5x = 3x + 11 Combine like terms: 5 + 2 = 7 7 + 5x = 3x + 11 Reorder the terms: 7 + 5x = 11 + 3x Solving 7 + 5x = 11 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 7 + 5x + -3x = 11 + 3x + -3x Combine like terms: 5x + -3x = 2x 7 + 2x = 11 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + 2x = 11 + 0 7 + 2x = 11 Add '-7' to each side of the equation. 7 + -7 + 2x = 11 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 11 + -7 2x = 11 + -7 Combine like terms: 11 + -7 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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