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Simplifying 10x + 9 + -2x = 6x + 7 + 3x Reorder the terms: 9 + 10x + -2x = 6x + 7 + 3x Combine like terms: 10x + -2x = 8x 9 + 8x = 6x + 7 + 3x Reorder the terms: 9 + 8x = 7 + 6x + 3x Combine like terms: 6x + 3x = 9x 9 + 8x = 7 + 9x Solving 9 + 8x = 7 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 9 + 8x + -9x = 7 + 9x + -9x Combine like terms: 8x + -9x = -1x 9 + -1x = 7 + 9x + -9x Combine like terms: 9x + -9x = 0 9 + -1x = 7 + 0 9 + -1x = 7 Add '-9' to each side of the equation. 9 + -9 + -1x = 7 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 7 + -9 -1x = 7 + -9 Combine like terms: 7 + -9 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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