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Simplifying 2x + 49 = 8x + 7 Reorder the terms: 49 + 2x = 8x + 7 Reorder the terms: 49 + 2x = 7 + 8x Solving 49 + 2x = 7 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 49 + 2x + -8x = 7 + 8x + -8x Combine like terms: 2x + -8x = -6x 49 + -6x = 7 + 8x + -8x Combine like terms: 8x + -8x = 0 49 + -6x = 7 + 0 49 + -6x = 7 Add '-49' to each side of the equation. 49 + -49 + -6x = 7 + -49 Combine like terms: 49 + -49 = 0 0 + -6x = 7 + -49 -6x = 7 + -49 Combine like terms: 7 + -49 = -42 -6x = -42 Divide each side by '-6'. x = 7 Simplifying x = 7
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