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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 = 10 10 + 12x + -15x = -1 Combine like terms: 12x + -15x = -3x 10 + -3x = -1 Solving 10 + -3x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3x = -1 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = -1 + -10 -3x = -1 + -10 Combine like terms: -1 + -10 = -11 -3x = -11 Divide each side by '-3'. x = 3.666666667 Simplifying x = 3.666666667
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