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Simplifying 6(2x + 5) + -5(3x + -4) = 1 Reorder the terms: 6(5 + 2x) + -5(3x + -4) = 1 (5 * 6 + 2x * 6) + -5(3x + -4) = 1 (30 + 12x) + -5(3x + -4) = 1 Reorder the terms: 30 + 12x + -5(-4 + 3x) = 1 30 + 12x + (-4 * -5 + 3x * -5) = 1 30 + 12x + (20 + -15x) = 1 Reorder the terms: 30 + 20 + 12x + -15x = 1 Combine like terms: 30 + 20 = 50 50 + 12x + -15x = 1 Combine like terms: 12x + -15x = -3x 50 + -3x = 1 Solving 50 + -3x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -3x = 1 + -50 Combine like terms: 50 + -50 = 0 0 + -3x = 1 + -50 -3x = 1 + -50 Combine like terms: 1 + -50 = -49 -3x = -49 Divide each side by '-3'. x = 16.33333333 Simplifying x = 16.33333333
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