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Simplifying 3(2x + -8) = 2(-4x + 16) Reorder the terms: 3(-8 + 2x) = 2(-4x + 16) (-8 * 3 + 2x * 3) = 2(-4x + 16) (-24 + 6x) = 2(-4x + 16) Reorder the terms: -24 + 6x = 2(16 + -4x) -24 + 6x = (16 * 2 + -4x * 2) -24 + 6x = (32 + -8x) Solving -24 + 6x = 32 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -24 + 6x + 8x = 32 + -8x + 8x Combine like terms: 6x + 8x = 14x -24 + 14x = 32 + -8x + 8x Combine like terms: -8x + 8x = 0 -24 + 14x = 32 + 0 -24 + 14x = 32 Add '24' to each side of the equation. -24 + 24 + 14x = 32 + 24 Combine like terms: -24 + 24 = 0 0 + 14x = 32 + 24 14x = 32 + 24 Combine like terms: 32 + 24 = 56 14x = 56 Divide each side by '14'. x = 4 Simplifying x = 4
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