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Simplifying 5 + 2(x + 11) = 3x + 8 Reorder the terms: 5 + 2(11 + x) = 3x + 8 5 + (11 * 2 + x * 2) = 3x + 8 5 + (22 + 2x) = 3x + 8 Combine like terms: 5 + 22 = 27 27 + 2x = 3x + 8 Reorder the terms: 27 + 2x = 8 + 3x Solving 27 + 2x = 8 + 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. 27 + 2x + -3x = 8 + 3x + -3x Combine like terms: 2x + -3x = -1x 27 + -1x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 27 + -1x = 8 + 0 27 + -1x = 8 Add '-27' to each side of the equation. 27 + -27 + -1x = 8 + -27 Combine like terms: 27 + -27 = 0 0 + -1x = 8 + -27 -1x = 8 + -27 Combine like terms: 8 + -27 = -19 -1x = -19 Divide each side by '-1'. x = 19 Simplifying x = 19
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