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Simplifying 4x + 4(-2x + -5) = -16 + -8x Reorder the terms: 4x + 4(-5 + -2x) = -16 + -8x 4x + (-5 * 4 + -2x * 4) = -16 + -8x 4x + (-20 + -8x) = -16 + -8x Reorder the terms: -20 + 4x + -8x = -16 + -8x Combine like terms: 4x + -8x = -4x -20 + -4x = -16 + -8x Solving -20 + -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. -20 + -4x + 8x = -16 + -8x + 8x Combine like terms: -4x + 8x = 4x -20 + 4x = -16 + -8x + 8x Combine like terms: -8x + 8x = 0 -20 + 4x = -16 + 0 -20 + 4x = -16 Add '20' to each side of the equation. -20 + 20 + 4x = -16 + 20 Combine like terms: -20 + 20 = 0 0 + 4x = -16 + 20 4x = -16 + 20 Combine like terms: -16 + 20 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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