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Simplifying 4x + 49 = 7(7x + 7) + -3x Reorder the terms: 49 + 4x = 7(7x + 7) + -3x Reorder the terms: 49 + 4x = 7(7 + 7x) + -3x 49 + 4x = (7 * 7 + 7x * 7) + -3x 49 + 4x = (49 + 49x) + -3x Combine like terms: 49x + -3x = 46x 49 + 4x = 49 + 46x Add '-49' to each side of the equation. 49 + -49 + 4x = 49 + -49 + 46x Combine like terms: 49 + -49 = 0 0 + 4x = 49 + -49 + 46x 4x = 49 + -49 + 46x Combine like terms: 49 + -49 = 0 4x = 0 + 46x 4x = 46x Solving 4x = 46x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46x' to each side of the equation. 4x + -46x = 46x + -46x Combine like terms: 4x + -46x = -42x -42x = 46x + -46x Combine like terms: 46x + -46x = 0 -42x = 0 Divide each side by '-42'. x = 0 Simplifying x = 0
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