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Simplifying 5x + 49 = 13x + 1 Reorder the terms: 49 + 5x = 13x + 1 Reorder the terms: 49 + 5x = 1 + 13x Solving 49 + 5x = 1 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 49 + 5x + -13x = 1 + 13x + -13x Combine like terms: 5x + -13x = -8x 49 + -8x = 1 + 13x + -13x Combine like terms: 13x + -13x = 0 49 + -8x = 1 + 0 49 + -8x = 1 Add '-49' to each side of the equation. 49 + -49 + -8x = 1 + -49 Combine like terms: 49 + -49 = 0 0 + -8x = 1 + -49 -8x = 1 + -49 Combine like terms: 1 + -49 = -48 -8x = -48 Divide each side by '-8'. x = 6 Simplifying x = 6
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