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Simplifying 3(2x + 4) = 2(x + -4) Reorder the terms: 3(4 + 2x) = 2(x + -4) (4 * 3 + 2x * 3) = 2(x + -4) (12 + 6x) = 2(x + -4) Reorder the terms: 12 + 6x = 2(-4 + x) 12 + 6x = (-4 * 2 + x * 2) 12 + 6x = (-8 + 2x) Solving 12 + 6x = -8 + 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 + 6x + -2x = -8 + 2x + -2x Combine like terms: 6x + -2x = 4x 12 + 4x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 4x = -8 + 0 12 + 4x = -8 Add '-12' to each side of the equation. 12 + -12 + 4x = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = -8 + -12 4x = -8 + -12 Combine like terms: -8 + -12 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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