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Simplifying 3(2x + -2) + 5(x + 6) = 13 Reorder the terms: 3(-2 + 2x) + 5(x + 6) = 13 (-2 * 3 + 2x * 3) + 5(x + 6) = 13 (-6 + 6x) + 5(x + 6) = 13 Reorder the terms: -6 + 6x + 5(6 + x) = 13 -6 + 6x + (6 * 5 + x * 5) = 13 -6 + 6x + (30 + 5x) = 13 Reorder the terms: -6 + 30 + 6x + 5x = 13 Combine like terms: -6 + 30 = 24 24 + 6x + 5x = 13 Combine like terms: 6x + 5x = 11x 24 + 11x = 13 Solving 24 + 11x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 11x = 13 + -24 Combine like terms: 24 + -24 = 0 0 + 11x = 13 + -24 11x = 13 + -24 Combine like terms: 13 + -24 = -11 11x = -11 Divide each side by '11'. x = -1 Simplifying x = -1
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