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Simplifying 3x + 1 + -2x = 10 + 8x + 5 Reorder the terms: 1 + 3x + -2x = 10 + 8x + 5 Combine like terms: 3x + -2x = 1x 1 + 1x = 10 + 8x + 5 Reorder the terms: 1 + 1x = 10 + 5 + 8x Combine like terms: 10 + 5 = 15 1 + 1x = 15 + 8x Solving 1 + 1x = 15 + 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. 1 + 1x + -8x = 15 + 8x + -8x Combine like terms: 1x + -8x = -7x 1 + -7x = 15 + 8x + -8x Combine like terms: 8x + -8x = 0 1 + -7x = 15 + 0 1 + -7x = 15 Add '-1' to each side of the equation. 1 + -1 + -7x = 15 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = 15 + -1 -7x = 15 + -1 Combine like terms: 15 + -1 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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