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Simplifying 3(x + 11) + 11 = 2x + 47 Reorder the terms: 3(11 + x) + 11 = 2x + 47 (11 * 3 + x * 3) + 11 = 2x + 47 (33 + 3x) + 11 = 2x + 47 Reorder the terms: 33 + 11 + 3x = 2x + 47 Combine like terms: 33 + 11 = 44 44 + 3x = 2x + 47 Reorder the terms: 44 + 3x = 47 + 2x Solving 44 + 3x = 47 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 44 + 3x + -2x = 47 + 2x + -2x Combine like terms: 3x + -2x = 1x 44 + 1x = 47 + 2x + -2x Combine like terms: 2x + -2x = 0 44 + 1x = 47 + 0 44 + 1x = 47 Add '-44' to each side of the equation. 44 + -44 + 1x = 47 + -44 Combine like terms: 44 + -44 = 0 0 + 1x = 47 + -44 1x = 47 + -44 Combine like terms: 47 + -44 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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