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Simplifying 5x + 1 = 49 + -3x Reorder the terms: 1 + 5x = 49 + -3x Solving 1 + 5x = 49 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 1 + 5x + 3x = 49 + -3x + 3x Combine like terms: 5x + 3x = 8x 1 + 8x = 49 + -3x + 3x Combine like terms: -3x + 3x = 0 1 + 8x = 49 + 0 1 + 8x = 49 Add '-1' to each side of the equation. 1 + -1 + 8x = 49 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = 49 + -1 8x = 49 + -1 Combine like terms: 49 + -1 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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