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Simplifying 6(2x + 5) + -5(3x + 2) = 11 Reorder the terms: 6(5 + 2x) + -5(3x + 2) = 11 (5 * 6 + 2x * 6) + -5(3x + 2) = 11 (30 + 12x) + -5(3x + 2) = 11 Reorder the terms: 30 + 12x + -5(2 + 3x) = 11 30 + 12x + (2 * -5 + 3x * -5) = 11 30 + 12x + (-10 + -15x) = 11 Reorder the terms: 30 + -10 + 12x + -15x = 11 Combine like terms: 30 + -10 = 20 20 + 12x + -15x = 11 Combine like terms: 12x + -15x = -3x 20 + -3x = 11 Solving 20 + -3x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -3x = 11 + -20 Combine like terms: 20 + -20 = 0 0 + -3x = 11 + -20 -3x = 11 + -20 Combine like terms: 11 + -20 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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