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Simplifying 2x + -3x + 5 = x + 7x + 10 Reorder the terms: 5 + 2x + -3x = x + 7x + 10 Combine like terms: 2x + -3x = -1x 5 + -1x = x + 7x + 10 Reorder the terms: 5 + -1x = 10 + x + 7x Combine like terms: x + 7x = 8x 5 + -1x = 10 + 8x Solving 5 + -1x = 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. 5 + -1x + -8x = 10 + 8x + -8x Combine like terms: -1x + -8x = -9x 5 + -9x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 5 + -9x = 10 + 0 5 + -9x = 10 Add '-5' to each side of the equation. 5 + -5 + -9x = 10 + -5 Combine like terms: 5 + -5 = 0 0 + -9x = 10 + -5 -9x = 10 + -5 Combine like terms: 10 + -5 = 5 -9x = 5 Divide each side by '-9'. x = -0.5555555556 Simplifying x = -0.5555555556
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