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Simplifying 5x + 1 = 13x + 2 Reorder the terms: 1 + 5x = 13x + 2 Reorder the terms: 1 + 5x = 2 + 13x Solving 1 + 5x = 2 + 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. 1 + 5x + -13x = 2 + 13x + -13x Combine like terms: 5x + -13x = -8x 1 + -8x = 2 + 13x + -13x Combine like terms: 13x + -13x = 0 1 + -8x = 2 + 0 1 + -8x = 2 Add '-1' to each side of the equation. 1 + -1 + -8x = 2 + -1 Combine like terms: 1 + -1 = 0 0 + -8x = 2 + -1 -8x = 2 + -1 Combine like terms: 2 + -1 = 1 -8x = 1 Divide each side by '-8'. x = -0.125 Simplifying x = -0.125
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