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Simplifying 3 + -1(5x + -19) = 6(x + -3) Reorder the terms: 3 + -1(-19 + 5x) = 6(x + -3) 3 + (-19 * -1 + 5x * -1) = 6(x + -3) 3 + (19 + -5x) = 6(x + -3) Combine like terms: 3 + 19 = 22 22 + -5x = 6(x + -3) Reorder the terms: 22 + -5x = 6(-3 + x) 22 + -5x = (-3 * 6 + x * 6) 22 + -5x = (-18 + 6x) Solving 22 + -5x = -18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 22 + -5x + -6x = -18 + 6x + -6x Combine like terms: -5x + -6x = -11x 22 + -11x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 22 + -11x = -18 + 0 22 + -11x = -18 Add '-22' to each side of the equation. 22 + -22 + -11x = -18 + -22 Combine like terms: 22 + -22 = 0 0 + -11x = -18 + -22 -11x = -18 + -22 Combine like terms: -18 + -22 = -40 -11x = -40 Divide each side by '-11'. x = 3.636363636 Simplifying x = 3.636363636
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