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Simplifying -3(2x + -4) + 2x = 2(x + 8) Reorder the terms: -3(-4 + 2x) + 2x = 2(x + 8) (-4 * -3 + 2x * -3) + 2x = 2(x + 8) (12 + -6x) + 2x = 2(x + 8) Combine like terms: -6x + 2x = -4x 12 + -4x = 2(x + 8) Reorder the terms: 12 + -4x = 2(8 + x) 12 + -4x = (8 * 2 + x * 2) 12 + -4x = (16 + 2x) Solving 12 + -4x = 16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + -4x + -2x = 16 + 2x + -2x Combine like terms: -4x + -2x = -6x 12 + -6x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -6x = 16 + 0 12 + -6x = 16 Add '-12' to each side of the equation. 12 + -12 + -6x = 16 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = 16 + -12 -6x = 16 + -12 Combine like terms: 16 + -12 = 4 -6x = 4 Divide each side by '-6'. x = -0.6666666667 Simplifying x = -0.6666666667
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