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Simplifying 2(2x + -4) = -3(x + -8) Reorder the terms: 2(-4 + 2x) = -3(x + -8) (-4 * 2 + 2x * 2) = -3(x + -8) (-8 + 4x) = -3(x + -8) Reorder the terms: -8 + 4x = -3(-8 + x) -8 + 4x = (-8 * -3 + x * -3) -8 + 4x = (24 + -3x) Solving -8 + 4x = 24 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -8 + 4x + 3x = 24 + -3x + 3x Combine like terms: 4x + 3x = 7x -8 + 7x = 24 + -3x + 3x Combine like terms: -3x + 3x = 0 -8 + 7x = 24 + 0 -8 + 7x = 24 Add '8' to each side of the equation. -8 + 8 + 7x = 24 + 8 Combine like terms: -8 + 8 = 0 0 + 7x = 24 + 8 7x = 24 + 8 Combine like terms: 24 + 8 = 32 7x = 32 Divide each side by '7'. x = 4.571428571 Simplifying x = 4.571428571
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