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Simplifying (5x + -13) = 3(x + 11) Reorder the terms: (-13 + 5x) = 3(x + 11) Remove parenthesis around (-13 + 5x) -13 + 5x = 3(x + 11) Reorder the terms: -13 + 5x = 3(11 + x) -13 + 5x = (11 * 3 + x * 3) -13 + 5x = (33 + 3x) Solving -13 + 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. -13 + 5x + -3x = 33 + 3x + -3x Combine like terms: 5x + -3x = 2x -13 + 2x = 33 + 3x + -3x Combine like terms: 3x + -3x = 0 -13 + 2x = 33 + 0 -13 + 2x = 33 Add '13' to each side of the equation. -13 + 13 + 2x = 33 + 13 Combine like terms: -13 + 13 = 0 0 + 2x = 33 + 13 2x = 33 + 13 Combine like terms: 33 + 13 = 46 2x = 46 Divide each side by '2'. x = 23 Simplifying x = 23
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