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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 = 14x -4 + 14x = 24 + -6x + 6x Combine like terms: -6x + 6x = 0 -4 + 14x = 24 + 0 -4 + 14x = 24 Add '4' to each side of the equation. -4 + 4 + 14x = 24 + 4 Combine like terms: -4 + 4 = 0 0 + 14x = 24 + 4 14x = 24 + 4 Combine like terms: 24 + 4 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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