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Simplifying 2(2x + 3) = 5(5x + 3) Reorder the terms: 2(3 + 2x) = 5(5x + 3) (3 * 2 + 2x * 2) = 5(5x + 3) (6 + 4x) = 5(5x + 3) Reorder the terms: 6 + 4x = 5(3 + 5x) 6 + 4x = (3 * 5 + 5x * 5) 6 + 4x = (15 + 25x) Solving 6 + 4x = 15 + 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. 6 + 4x + -25x = 15 + 25x + -25x Combine like terms: 4x + -25x = -21x 6 + -21x = 15 + 25x + -25x Combine like terms: 25x + -25x = 0 6 + -21x = 15 + 0 6 + -21x = 15 Add '-6' to each side of the equation. 6 + -6 + -21x = 15 + -6 Combine like terms: 6 + -6 = 0 0 + -21x = 15 + -6 -21x = 15 + -6 Combine like terms: 15 + -6 = 9 -21x = 9 Divide each side by '-21'. x = -0.4285714286 Simplifying x = -0.4285714286
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