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Simplifying 13(x + 1) + -3(2x + 6) = -19 Reorder the terms: 13(1 + x) + -3(2x + 6) = -19 (1 * 13 + x * 13) + -3(2x + 6) = -19 (13 + 13x) + -3(2x + 6) = -19 Reorder the terms: 13 + 13x + -3(6 + 2x) = -19 13 + 13x + (6 * -3 + 2x * -3) = -19 13 + 13x + (-18 + -6x) = -19 Reorder the terms: 13 + -18 + 13x + -6x = -19 Combine like terms: 13 + -18 = -5 -5 + 13x + -6x = -19 Combine like terms: 13x + -6x = 7x -5 + 7x = -19 Solving -5 + 7x = -19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 7x = -19 + 5 Combine like terms: -5 + 5 = 0 0 + 7x = -19 + 5 7x = -19 + 5 Combine like terms: -19 + 5 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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