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Simplifying -2(3x + 7) = -3(4x + 1) Reorder the terms: -2(7 + 3x) = -3(4x + 1) (7 * -2 + 3x * -2) = -3(4x + 1) (-14 + -6x) = -3(4x + 1) Reorder the terms: -14 + -6x = -3(1 + 4x) -14 + -6x = (1 * -3 + 4x * -3) -14 + -6x = (-3 + -12x) Solving -14 + -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. -14 + -6x + 12x = -3 + -12x + 12x Combine like terms: -6x + 12x = 6x -14 + 6x = -3 + -12x + 12x Combine like terms: -12x + 12x = 0 -14 + 6x = -3 + 0 -14 + 6x = -3 Add '14' to each side of the equation. -14 + 14 + 6x = -3 + 14 Combine like terms: -14 + 14 = 0 0 + 6x = -3 + 14 6x = -3 + 14 Combine like terms: -3 + 14 = 11 6x = 11 Divide each side by '6'. x = 1.833333333 Simplifying x = 1.833333333
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