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Simplifying 11 + 3(x + 1) = 5x + 6 Reorder the terms: 11 + 3(1 + x) = 5x + 6 11 + (1 * 3 + x * 3) = 5x + 6 11 + (3 + 3x) = 5x + 6 Combine like terms: 11 + 3 = 14 14 + 3x = 5x + 6 Reorder the terms: 14 + 3x = 6 + 5x Solving 14 + 3x = 6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 14 + 3x + -5x = 6 + 5x + -5x Combine like terms: 3x + -5x = -2x 14 + -2x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + -2x = 6 + 0 14 + -2x = 6 Add '-14' to each side of the equation. 14 + -14 + -2x = 6 + -14 Combine like terms: 14 + -14 = 0 0 + -2x = 6 + -14 -2x = 6 + -14 Combine like terms: 6 + -14 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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