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Simplifying 5(5x + 3) = 4(4x + -5) Reorder the terms: 5(3 + 5x) = 4(4x + -5) (3 * 5 + 5x * 5) = 4(4x + -5) (15 + 25x) = 4(4x + -5) Reorder the terms: 15 + 25x = 4(-5 + 4x) 15 + 25x = (-5 * 4 + 4x * 4) 15 + 25x = (-20 + 16x) Solving 15 + 25x = -20 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 15 + 25x + -16x = -20 + 16x + -16x Combine like terms: 25x + -16x = 9x 15 + 9x = -20 + 16x + -16x Combine like terms: 16x + -16x = 0 15 + 9x = -20 + 0 15 + 9x = -20 Add '-15' to each side of the equation. 15 + -15 + 9x = -20 + -15 Combine like terms: 15 + -15 = 0 0 + 9x = -20 + -15 9x = -20 + -15 Combine like terms: -20 + -15 = -35 9x = -35 Divide each side by '9'. x = -3.888888889 Simplifying x = -3.888888889
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