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Simplifying 5(x + -4) = 52 + -4x Reorder the terms: 5(-4 + x) = 52 + -4x (-4 * 5 + x * 5) = 52 + -4x (-20 + 5x) = 52 + -4x Solving -20 + 5x = 52 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -20 + 5x + 4x = 52 + -4x + 4x Combine like terms: 5x + 4x = 9x -20 + 9x = 52 + -4x + 4x Combine like terms: -4x + 4x = 0 -20 + 9x = 52 + 0 -20 + 9x = 52 Add '20' to each side of the equation. -20 + 20 + 9x = 52 + 20 Combine like terms: -20 + 20 = 0 0 + 9x = 52 + 20 9x = 52 + 20 Combine like terms: 52 + 20 = 72 9x = 72 Divide each side by '9'. x = 8 Simplifying x = 8
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