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Simplifying 5x + 4(2x + 11) = 174 Reorder the terms: 5x + 4(11 + 2x) = 174 5x + (11 * 4 + 2x * 4) = 174 5x + (44 + 8x) = 174 Reorder the terms: 44 + 5x + 8x = 174 Combine like terms: 5x + 8x = 13x 44 + 13x = 174 Solving 44 + 13x = 174 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + 13x = 174 + -44 Combine like terms: 44 + -44 = 0 0 + 13x = 174 + -44 13x = 174 + -44 Combine like terms: 174 + -44 = 130 13x = 130 Divide each side by '13'. x = 10 Simplifying x = 10
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