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Simplifying 2(4x + -2) = 3(2x + -8) Reorder the terms: 2(-2 + 4x) = 3(2x + -8) (-2 * 2 + 4x * 2) = 3(2x + -8) (-4 + 8x) = 3(2x + -8) Reorder the terms: -4 + 8x = 3(-8 + 2x) -4 + 8x = (-8 * 3 + 2x * 3) -4 + 8x = (-24 + 6x) Solving -4 + 8x = -24 + 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 + 8x + -6x = -24 + 6x + -6x Combine like terms: 8x + -6x = 2x -4 + 2x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + 2x = -24 + 0 -4 + 2x = -24 Add '4' to each side of the equation. -4 + 4 + 2x = -24 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = -24 + 4 2x = -24 + 4 Combine like terms: -24 + 4 = -20 2x = -20 Divide each side by '2'. x = -10 Simplifying x = -10
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