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Simplifying 5(x + -6) + 11 = 3(x + 5) Reorder the terms: 5(-6 + x) + 11 = 3(x + 5) (-6 * 5 + x * 5) + 11 = 3(x + 5) (-30 + 5x) + 11 = 3(x + 5) Reorder the terms: -30 + 11 + 5x = 3(x + 5) Combine like terms: -30 + 11 = -19 -19 + 5x = 3(x + 5) Reorder the terms: -19 + 5x = 3(5 + x) -19 + 5x = (5 * 3 + x * 3) -19 + 5x = (15 + 3x) Solving -19 + 5x = 15 + 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. -19 + 5x + -3x = 15 + 3x + -3x Combine like terms: 5x + -3x = 2x -19 + 2x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 -19 + 2x = 15 + 0 -19 + 2x = 15 Add '19' to each side of the equation. -19 + 19 + 2x = 15 + 19 Combine like terms: -19 + 19 = 0 0 + 2x = 15 + 19 2x = 15 + 19 Combine like terms: 15 + 19 = 34 2x = 34 Divide each side by '2'. x = 17 Simplifying x = 17
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