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Simplifying 4(2x + -8) = 6x + -8 Reorder the terms: 4(-8 + 2x) = 6x + -8 (-8 * 4 + 2x * 4) = 6x + -8 (-32 + 8x) = 6x + -8 Reorder the terms: -32 + 8x = -8 + 6x Solving -32 + 8x = -8 + 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. -32 + 8x + -6x = -8 + 6x + -6x Combine like terms: 8x + -6x = 2x -32 + 2x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 -32 + 2x = -8 + 0 -32 + 2x = -8 Add '32' to each side of the equation. -32 + 32 + 2x = -8 + 32 Combine like terms: -32 + 32 = 0 0 + 2x = -8 + 32 2x = -8 + 32 Combine like terms: -8 + 32 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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