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