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Simplifying 3(2x + -8) + -2(4 + -3x) = 20x Reorder the terms: 3(-8 + 2x) + -2(4 + -3x) = 20x (-8 * 3 + 2x * 3) + -2(4 + -3x) = 20x (-24 + 6x) + -2(4 + -3x) = 20x -24 + 6x + (4 * -2 + -3x * -2) = 20x -24 + 6x + (-8 + 6x) = 20x Reorder the terms: -24 + -8 + 6x + 6x = 20x Combine like terms: -24 + -8 = -32 -32 + 6x + 6x = 20x Combine like terms: 6x + 6x = 12x -32 + 12x = 20x Solving -32 + 12x = 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -32 + 12x + -20x = 20x + -20x Combine like terms: 12x + -20x = -8x -32 + -8x = 20x + -20x Combine like terms: 20x + -20x = 0 -32 + -8x = 0 Add '32' to each side of the equation. -32 + 32 + -8x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -8x = 0 + 32 -8x = 0 + 32 Combine like terms: 0 + 32 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
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