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