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Simplifying 4x + 2 = 5(5x + 10) Reorder the terms: 2 + 4x = 5(5x + 10) Reorder the terms: 2 + 4x = 5(10 + 5x) 2 + 4x = (10 * 5 + 5x * 5) 2 + 4x = (50 + 25x) Solving 2 + 4x = 50 + 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. 2 + 4x + -25x = 50 + 25x + -25x Combine like terms: 4x + -25x = -21x 2 + -21x = 50 + 25x + -25x Combine like terms: 25x + -25x = 0 2 + -21x = 50 + 0 2 + -21x = 50 Add '-2' to each side of the equation. 2 + -2 + -21x = 50 + -2 Combine like terms: 2 + -2 = 0 0 + -21x = 50 + -2 -21x = 50 + -2 Combine like terms: 50 + -2 = 48 -21x = 48 Divide each side by '-21'. x = -2.285714286 Simplifying x = -2.285714286
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