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Simplifying 4(4x + 3) = 5(5x + 2) Reorder the terms: 4(3 + 4x) = 5(5x + 2) (3 * 4 + 4x * 4) = 5(5x + 2) (12 + 16x) = 5(5x + 2) Reorder the terms: 12 + 16x = 5(2 + 5x) 12 + 16x = (2 * 5 + 5x * 5) 12 + 16x = (10 + 25x) Solving 12 + 16x = 10 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 12 + 16x + -25x = 10 + 25x + -25x Combine like terms: 16x + -25x = -9x 12 + -9x = 10 + 25x + -25x Combine like terms: 25x + -25x = 0 12 + -9x = 10 + 0 12 + -9x = 10 Add '-12' to each side of the equation. 12 + -12 + -9x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -9x = 10 + -12 -9x = 10 + -12 Combine like terms: 10 + -12 = -2 -9x = -2 Divide each side by '-9'. x = 0.2222222222 Simplifying x = 0.2222222222
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