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Simplifying 2 + 3(2x + -4) = 3(4x + -2) Reorder the terms: 2 + 3(-4 + 2x) = 3(4x + -2) 2 + (-4 * 3 + 2x * 3) = 3(4x + -2) 2 + (-12 + 6x) = 3(4x + -2) Combine like terms: 2 + -12 = -10 -10 + 6x = 3(4x + -2) Reorder the terms: -10 + 6x = 3(-2 + 4x) -10 + 6x = (-2 * 3 + 4x * 3) -10 + 6x = (-6 + 12x) Solving -10 + 6x = -6 + 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. -10 + 6x + -12x = -6 + 12x + -12x Combine like terms: 6x + -12x = -6x -10 + -6x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 -10 + -6x = -6 + 0 -10 + -6x = -6 Add '10' to each side of the equation. -10 + 10 + -6x = -6 + 10 Combine like terms: -10 + 10 = 0 0 + -6x = -6 + 10 -6x = -6 + 10 Combine like terms: -6 + 10 = 4 -6x = 4 Divide each side by '-6'. x = -0.6666666667 Simplifying x = -0.6666666667
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