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Simplifying 5x + 7 = -8x + 10 Reorder the terms: 7 + 5x = -8x + 10 Reorder the terms: 7 + 5x = 10 + -8x Solving 7 + 5x = 10 + -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. 7 + 5x + 8x = 10 + -8x + 8x Combine like terms: 5x + 8x = 13x 7 + 13x = 10 + -8x + 8x Combine like terms: -8x + 8x = 0 7 + 13x = 10 + 0 7 + 13x = 10 Add '-7' to each side of the equation. 7 + -7 + 13x = 10 + -7 Combine like terms: 7 + -7 = 0 0 + 13x = 10 + -7 13x = 10 + -7 Combine like terms: 10 + -7 = 3 13x = 3 Divide each side by '13'. x = 0.2307692308 Simplifying x = 0.2307692308
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