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Simplifying 3(6x + -5) = 5x + 11 Reorder the terms: 3(-5 + 6x) = 5x + 11 (-5 * 3 + 6x * 3) = 5x + 11 (-15 + 18x) = 5x + 11 Reorder the terms: -15 + 18x = 11 + 5x Solving -15 + 18x = 11 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -15 + 18x + -5x = 11 + 5x + -5x Combine like terms: 18x + -5x = 13x -15 + 13x = 11 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 + 13x = 11 + 0 -15 + 13x = 11 Add '15' to each side of the equation. -15 + 15 + 13x = 11 + 15 Combine like terms: -15 + 15 = 0 0 + 13x = 11 + 15 13x = 11 + 15 Combine like terms: 11 + 15 = 26 13x = 26 Divide each side by '13'. x = 2 Simplifying x = 2
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