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Simplifying 4x + 49 = 5(5x + 5) + 3 Reorder the terms: 49 + 4x = 5(5x + 5) + 3 Reorder the terms: 49 + 4x = 5(5 + 5x) + 3 49 + 4x = (5 * 5 + 5x * 5) + 3 49 + 4x = (25 + 25x) + 3 Reorder the terms: 49 + 4x = 25 + 3 + 25x Combine like terms: 25 + 3 = 28 49 + 4x = 28 + 25x Solving 49 + 4x = 28 + 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. 49 + 4x + -25x = 28 + 25x + -25x Combine like terms: 4x + -25x = -21x 49 + -21x = 28 + 25x + -25x Combine like terms: 25x + -25x = 0 49 + -21x = 28 + 0 49 + -21x = 28 Add '-49' to each side of the equation. 49 + -49 + -21x = 28 + -49 Combine like terms: 49 + -49 = 0 0 + -21x = 28 + -49 -21x = 28 + -49 Combine like terms: 28 + -49 = -21 -21x = -21 Divide each side by '-21'. x = 1 Simplifying x = 1
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