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