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Simplifying 5(5 + -1x) = 4(x + -5) (5 * 5 + -1x * 5) = 4(x + -5) (25 + -5x) = 4(x + -5) Reorder the terms: 25 + -5x = 4(-5 + x) 25 + -5x = (-5 * 4 + x * 4) 25 + -5x = (-20 + 4x) Solving 25 + -5x = -20 + 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. 25 + -5x + -4x = -20 + 4x + -4x Combine like terms: -5x + -4x = -9x 25 + -9x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 25 + -9x = -20 + 0 25 + -9x = -20 Add '-25' to each side of the equation. 25 + -25 + -9x = -20 + -25 Combine like terms: 25 + -25 = 0 0 + -9x = -20 + -25 -9x = -20 + -25 Combine like terms: -20 + -25 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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