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Simplifying 5x + 8 = -8x + 1 Reorder the terms: 8 + 5x = -8x + 1 Reorder the terms: 8 + 5x = 1 + -8x Solving 8 + 5x = 1 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 8 + 5x + 8x = 1 + -8x + 8x Combine like terms: 5x + 8x = 13x 8 + 13x = 1 + -8x + 8x Combine like terms: -8x + 8x = 0 8 + 13x = 1 + 0 8 + 13x = 1 Add '-8' to each side of the equation. 8 + -8 + 13x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 13x = 1 + -8 13x = 1 + -8 Combine like terms: 1 + -8 = -7 13x = -7 Divide each side by '13'. x = -0.5384615385 Simplifying x = -0.5384615385
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