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Simplifying 8(4x + -4) = 5x + 22 Reorder the terms: 8(-4 + 4x) = 5x + 22 (-4 * 8 + 4x * 8) = 5x + 22 (-32 + 32x) = 5x + 22 Reorder the terms: -32 + 32x = 22 + 5x Solving -32 + 32x = 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. -32 + 32x + -5x = 22 + 5x + -5x Combine like terms: 32x + -5x = 27x -32 + 27x = 22 + 5x + -5x Combine like terms: 5x + -5x = 0 -32 + 27x = 22 + 0 -32 + 27x = 22 Add '32' to each side of the equation. -32 + 32 + 27x = 22 + 32 Combine like terms: -32 + 32 = 0 0 + 27x = 22 + 32 27x = 22 + 32 Combine like terms: 22 + 32 = 54 27x = 54 Divide each side by '27'. x = 2 Simplifying x = 2
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