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Simplifying 3(2x + -8) = 16 + -2(4x + 6) Reorder the terms: 3(-8 + 2x) = 16 + -2(4x + 6) (-8 * 3 + 2x * 3) = 16 + -2(4x + 6) (-24 + 6x) = 16 + -2(4x + 6) Reorder the terms: -24 + 6x = 16 + -2(6 + 4x) -24 + 6x = 16 + (6 * -2 + 4x * -2) -24 + 6x = 16 + (-12 + -8x) Combine like terms: 16 + -12 = 4 -24 + 6x = 4 + -8x Solving -24 + 6x = 4 + -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 = 4 + -8x + 8x Combine like terms: 6x + 8x = 14x -24 + 14x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 -24 + 14x = 4 + 0 -24 + 14x = 4 Add '24' to each side of the equation. -24 + 24 + 14x = 4 + 24 Combine like terms: -24 + 24 = 0 0 + 14x = 4 + 24 14x = 4 + 24 Combine like terms: 4 + 24 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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