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Simplifying 3(2x + -5) + 5(x + -6) = -1 Reorder the terms: 3(-5 + 2x) + 5(x + -6) = -1 (-5 * 3 + 2x * 3) + 5(x + -6) = -1 (-15 + 6x) + 5(x + -6) = -1 Reorder the terms: -15 + 6x + 5(-6 + x) = -1 -15 + 6x + (-6 * 5 + x * 5) = -1 -15 + 6x + (-30 + 5x) = -1 Reorder the terms: -15 + -30 + 6x + 5x = -1 Combine like terms: -15 + -30 = -45 -45 + 6x + 5x = -1 Combine like terms: 6x + 5x = 11x -45 + 11x = -1 Solving -45 + 11x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 11x = -1 + 45 Combine like terms: -45 + 45 = 0 0 + 11x = -1 + 45 11x = -1 + 45 Combine like terms: -1 + 45 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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