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Simplifying 6(2x + -1) + -5(x + -3) = 2 Reorder the terms: 6(-1 + 2x) + -5(x + -3) = 2 (-1 * 6 + 2x * 6) + -5(x + -3) = 2 (-6 + 12x) + -5(x + -3) = 2 Reorder the terms: -6 + 12x + -5(-3 + x) = 2 -6 + 12x + (-3 * -5 + x * -5) = 2 -6 + 12x + (15 + -5x) = 2 Reorder the terms: -6 + 15 + 12x + -5x = 2 Combine like terms: -6 + 15 = 9 9 + 12x + -5x = 2 Combine like terms: 12x + -5x = 7x 9 + 7x = 2 Solving 9 + 7x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 7x = 2 + -9 Combine like terms: 9 + -9 = 0 0 + 7x = 2 + -9 7x = 2 + -9 Combine like terms: 2 + -9 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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