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Simplifying 4(x + -5) = 52 + -5x Reorder the terms: 4(-5 + x) = 52 + -5x (-5 * 4 + x * 4) = 52 + -5x (-20 + 4x) = 52 + -5x Solving -20 + 4x = 52 + -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. -20 + 4x + 5x = 52 + -5x + 5x Combine like terms: 4x + 5x = 9x -20 + 9x = 52 + -5x + 5x Combine like terms: -5x + 5x = 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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