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Simplifying 5x + 24 = 13x + 1 Reorder the terms: 24 + 5x = 13x + 1 Reorder the terms: 24 + 5x = 1 + 13x Solving 24 + 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. 24 + 5x + -13x = 1 + 13x + -13x Combine like terms: 5x + -13x = -8x 24 + -8x = 1 + 13x + -13x Combine like terms: 13x + -13x = 0 24 + -8x = 1 + 0 24 + -8x = 1 Add '-24' to each side of the equation. 24 + -24 + -8x = 1 + -24 Combine like terms: 24 + -24 = 0 0 + -8x = 1 + -24 -8x = 1 + -24 Combine like terms: 1 + -24 = -23 -8x = -23 Divide each side by '-8'. x = 2.875 Simplifying x = 2.875
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