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Simplifying 4(3x + -2) = (6x + 6) Reorder the terms: 4(-2 + 3x) = (6x + 6) (-2 * 4 + 3x * 4) = (6x + 6) (-8 + 12x) = (6x + 6) Reorder the terms: -8 + 12x = (6 + 6x) Remove parenthesis around (6 + 6x) -8 + 12x = 6 + 6x Solving -8 + 12x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8 + 12x + -6x = 6 + 6x + -6x Combine like terms: 12x + -6x = 6x -8 + 6x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + 6x = 6 + 0 -8 + 6x = 6 Add '8' to each side of the equation. -8 + 8 + 6x = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = 6 + 8 6x = 6 + 8 Combine like terms: 6 + 8 = 14 6x = 14 Divide each side by '6'. x = 2.333333333 Simplifying x = 2.333333333
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