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Simplifying -6(2x + 1) = -19(x + 1) Reorder the terms: -6(1 + 2x) = -19(x + 1) (1 * -6 + 2x * -6) = -19(x + 1) (-6 + -12x) = -19(x + 1) Reorder the terms: -6 + -12x = -19(1 + x) -6 + -12x = (1 * -19 + x * -19) -6 + -12x = (-19 + -19x) Solving -6 + -12x = -19 + -19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19x' to each side of the equation. -6 + -12x + 19x = -19 + -19x + 19x Combine like terms: -12x + 19x = 7x -6 + 7x = -19 + -19x + 19x Combine like terms: -19x + 19x = 0 -6 + 7x = -19 + 0 -6 + 7x = -19 Add '6' to each side of the equation. -6 + 6 + 7x = -19 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = -19 + 6 7x = -19 + 6 Combine like terms: -19 + 6 = -13 7x = -13 Divide each side by '7'. x = -1.857142857 Simplifying x = -1.857142857
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