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Simplifying 4(2x + -4) = 5x + -22 Reorder the terms: 4(-4 + 2x) = 5x + -22 (-4 * 4 + 2x * 4) = 5x + -22 (-16 + 8x) = 5x + -22 Reorder the terms: -16 + 8x = -22 + 5x Solving -16 + 8x = -22 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -16 + 8x + -5x = -22 + 5x + -5x Combine like terms: 8x + -5x = 3x -16 + 3x = -22 + 5x + -5x Combine like terms: 5x + -5x = 0 -16 + 3x = -22 + 0 -16 + 3x = -22 Add '16' to each side of the equation. -16 + 16 + 3x = -22 + 16 Combine like terms: -16 + 16 = 0 0 + 3x = -22 + 16 3x = -22 + 16 Combine like terms: -22 + 16 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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