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Simplifying 3(2x + 2) = 4(3x + -1) Reorder the terms: 3(2 + 2x) = 4(3x + -1) (2 * 3 + 2x * 3) = 4(3x + -1) (6 + 6x) = 4(3x + -1) Reorder the terms: 6 + 6x = 4(-1 + 3x) 6 + 6x = (-1 * 4 + 3x * 4) 6 + 6x = (-4 + 12x) Solving 6 + 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. 6 + 6x + -12x = -4 + 12x + -12x Combine like terms: 6x + -12x = -6x 6 + -6x = -4 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + -6x = -4 + 0 6 + -6x = -4 Add '-6' to each side of the equation. 6 + -6 + -6x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = -4 + -6 -6x = -4 + -6 Combine like terms: -4 + -6 = -10 -6x = -10 Divide each side by '-6'. x = 1.666666667 Simplifying x = 1.666666667
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