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Simplifying 5(x + 1) + 2x = 3x + 11 Reorder the terms: 5(1 + x) + 2x = 3x + 11 (1 * 5 + x * 5) + 2x = 3x + 11 (5 + 5x) + 2x = 3x + 11 Combine like terms: 5x + 2x = 7x 5 + 7x = 3x + 11 Reorder the terms: 5 + 7x = 11 + 3x Solving 5 + 7x = 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. 5 + 7x + -3x = 11 + 3x + -3x Combine like terms: 7x + -3x = 4x 5 + 4x = 11 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + 4x = 11 + 0 5 + 4x = 11 Add '-5' to each side of the equation. 5 + -5 + 4x = 11 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 11 + -5 4x = 11 + -5 Combine like terms: 11 + -5 = 6 4x = 6 Divide each side by '4'. x = 1.5 Simplifying x = 1.5
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