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Simplifying 1(5x + 3) = 3(x + 11) Reorder the terms: 1(3 + 5x) = 3(x + 11) (3 * 1 + 5x * 1) = 3(x + 11) (3 + 5x) = 3(x + 11) Reorder the terms: 3 + 5x = 3(11 + x) 3 + 5x = (11 * 3 + x * 3) 3 + 5x = (33 + 3x) Solving 3 + 5x = 33 + 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. 3 + 5x + -3x = 33 + 3x + -3x Combine like terms: 5x + -3x = 2x 3 + 2x = 33 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + 2x = 33 + 0 3 + 2x = 33 Add '-3' to each side of the equation. 3 + -3 + 2x = 33 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 33 + -3 2x = 33 + -3 Combine like terms: 33 + -3 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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