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Simplifying 3(x + 6) + -5(-2x + -3) = 19 Reorder the terms: 3(6 + x) + -5(-2x + -3) = 19 (6 * 3 + x * 3) + -5(-2x + -3) = 19 (18 + 3x) + -5(-2x + -3) = 19 Reorder the terms: 18 + 3x + -5(-3 + -2x) = 19 18 + 3x + (-3 * -5 + -2x * -5) = 19 18 + 3x + (15 + 10x) = 19 Reorder the terms: 18 + 15 + 3x + 10x = 19 Combine like terms: 18 + 15 = 33 33 + 3x + 10x = 19 Combine like terms: 3x + 10x = 13x 33 + 13x = 19 Solving 33 + 13x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 13x = 19 + -33 Combine like terms: 33 + -33 = 0 0 + 13x = 19 + -33 13x = 19 + -33 Combine like terms: 19 + -33 = -14 13x = -14 Divide each side by '13'. x = -1.076923077 Simplifying x = -1.076923077
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