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Simplifying 10x + 2 + -8x + 5 = 9x + 3 + -8x + 2 Reorder the terms: 2 + 5 + 10x + -8x = 9x + 3 + -8x + 2 Combine like terms: 2 + 5 = 7 7 + 10x + -8x = 9x + 3 + -8x + 2 Combine like terms: 10x + -8x = 2x 7 + 2x = 9x + 3 + -8x + 2 Reorder the terms: 7 + 2x = 3 + 2 + 9x + -8x Combine like terms: 3 + 2 = 5 7 + 2x = 5 + 9x + -8x Combine like terms: 9x + -8x = 1x 7 + 2x = 5 + 1x Solving 7 + 2x = 5 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7 + 2x + -1x = 5 + 1x + -1x Combine like terms: 2x + -1x = 1x 7 + 1x = 5 + 1x + -1x Combine like terms: 1x + -1x = 0 7 + 1x = 5 + 0 7 + 1x = 5 Add '-7' to each side of the equation. 7 + -7 + 1x = 5 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 5 + -7 1x = 5 + -7 Combine like terms: 5 + -7 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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