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Simplifying 8x + 1 = -5x + 14 Reorder the terms: 1 + 8x = -5x + 14 Reorder the terms: 1 + 8x = 14 + -5x Solving 1 + 8x = 14 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 1 + 8x + 5x = 14 + -5x + 5x Combine like terms: 8x + 5x = 13x 1 + 13x = 14 + -5x + 5x Combine like terms: -5x + 5x = 0 1 + 13x = 14 + 0 1 + 13x = 14 Add '-1' to each side of the equation. 1 + -1 + 13x = 14 + -1 Combine like terms: 1 + -1 = 0 0 + 13x = 14 + -1 13x = 14 + -1 Combine like terms: 14 + -1 = 13 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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