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Simplifying 3(2x + 5) + 5(x + -1) = -1 Reorder the terms: 3(5 + 2x) + 5(x + -1) = -1 (5 * 3 + 2x * 3) + 5(x + -1) = -1 (15 + 6x) + 5(x + -1) = -1 Reorder the terms: 15 + 6x + 5(-1 + x) = -1 15 + 6x + (-1 * 5 + x * 5) = -1 15 + 6x + (-5 + 5x) = -1 Reorder the terms: 15 + -5 + 6x + 5x = -1 Combine like terms: 15 + -5 = 10 10 + 6x + 5x = -1 Combine like terms: 6x + 5x = 11x 10 + 11x = -1 Solving 10 + 11x = -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 + 11x = -1 + -10 Combine like terms: 10 + -10 = 0 0 + 11x = -1 + -10 11x = -1 + -10 Combine like terms: -1 + -10 = -11 11x = -11 Divide each side by '11'. x = -1 Simplifying x = -1
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