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Simplifying 4(3x + -2) = 4 + -6x Reorder the terms: 4(-2 + 3x) = 4 + -6x (-2 * 4 + 3x * 4) = 4 + -6x (-8 + 12x) = 4 + -6x Solving -8 + 12x = 4 + -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 = 4 + -6x + 6x Combine like terms: 12x + 6x = 18x -8 + 18x = 4 + -6x + 6x Combine like terms: -6x + 6x = 0 -8 + 18x = 4 + 0 -8 + 18x = 4 Add '8' to each side of the equation. -8 + 8 + 18x = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 18x = 4 + 8 18x = 4 + 8 Combine like terms: 4 + 8 = 12 18x = 12 Divide each side by '18'. x = 0.6666666667 Simplifying x = 0.6666666667
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