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Simplifying -2(3x + 1) = 3(4x + 1) Reorder the terms: -2(1 + 3x) = 3(4x + 1) (1 * -2 + 3x * -2) = 3(4x + 1) (-2 + -6x) = 3(4x + 1) Reorder the terms: -2 + -6x = 3(1 + 4x) -2 + -6x = (1 * 3 + 4x * 3) -2 + -6x = (3 + 12x) Solving -2 + -6x = 3 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -2 + -6x + -12x = 3 + 12x + -12x Combine like terms: -6x + -12x = -18x -2 + -18x = 3 + 12x + -12x Combine like terms: 12x + -12x = 0 -2 + -18x = 3 + 0 -2 + -18x = 3 Add '2' to each side of the equation. -2 + 2 + -18x = 3 + 2 Combine like terms: -2 + 2 = 0 0 + -18x = 3 + 2 -18x = 3 + 2 Combine like terms: 3 + 2 = 5 -18x = 5 Divide each side by '-18'. x = -0.2777777778 Simplifying x = -0.2777777778
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