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Simplifying 5(5 + x) = 4(2x + -5) (5 * 5 + x * 5) = 4(2x + -5) (25 + 5x) = 4(2x + -5) Reorder the terms: 25 + 5x = 4(-5 + 2x) 25 + 5x = (-5 * 4 + 2x * 4) 25 + 5x = (-20 + 8x) Solving 25 + 5x = -20 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 25 + 5x + -8x = -20 + 8x + -8x Combine like terms: 5x + -8x = -3x 25 + -3x = -20 + 8x + -8x Combine like terms: 8x + -8x = 0 25 + -3x = -20 + 0 25 + -3x = -20 Add '-25' to each side of the equation. 25 + -25 + -3x = -20 + -25 Combine like terms: 25 + -25 = 0 0 + -3x = -20 + -25 -3x = -20 + -25 Combine like terms: -20 + -25 = -45 -3x = -45 Divide each side by '-3'. x = 15 Simplifying x = 15
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