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Simplifying 5x + 27(x + -4) = 52 Reorder the terms: 5x + 27(-4 + x) = 52 5x + (-4 * 27 + x * 27) = 52 5x + (-108 + 27x) = 52 Reorder the terms: -108 + 5x + 27x = 52 Combine like terms: 5x + 27x = 32x -108 + 32x = 52 Solving -108 + 32x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '108' to each side of the equation. -108 + 108 + 32x = 52 + 108 Combine like terms: -108 + 108 = 0 0 + 32x = 52 + 108 32x = 52 + 108 Combine like terms: 52 + 108 = 160 32x = 160 Divide each side by '32'. x = 5 Simplifying x = 5
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