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Simplifying 3(2x + 1) = 4(3x + -1) Reorder the terms: 3(1 + 2x) = 4(3x + -1) (1 * 3 + 2x * 3) = 4(3x + -1) (3 + 6x) = 4(3x + -1) Reorder the terms: 3 + 6x = 4(-1 + 3x) 3 + 6x = (-1 * 4 + 3x * 4) 3 + 6x = (-4 + 12x) Solving 3 + 6x = -4 + 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. 3 + 6x + -12x = -4 + 12x + -12x Combine like terms: 6x + -12x = -6x 3 + -6x = -4 + 12x + -12x Combine like terms: 12x + -12x = 0 3 + -6x = -4 + 0 3 + -6x = -4 Add '-3' to each side of the equation. 3 + -3 + -6x = -4 + -3 Combine like terms: 3 + -3 = 0 0 + -6x = -4 + -3 -6x = -4 + -3 Combine like terms: -4 + -3 = -7 -6x = -7 Divide each side by '-6'. x = 1.166666667 Simplifying x = 1.166666667
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