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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 = 18x 6 + 18x = 4 + -12x + 12x Combine like terms: -12x + 12x = 0 6 + 18x = 4 + 0 6 + 18x = 4 Add '-6' to each side of the equation. 6 + -6 + 18x = 4 + -6 Combine like terms: 6 + -6 = 0 0 + 18x = 4 + -6 18x = 4 + -6 Combine like terms: 4 + -6 = -2 18x = -2 Divide each side by '18'. x = -0.1111111111 Simplifying x = -0.1111111111
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