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Simplifying 4x + -9x + -2 = 10x + -9 + -8x Reorder the terms: -2 + 4x + -9x = 10x + -9 + -8x Combine like terms: 4x + -9x = -5x -2 + -5x = 10x + -9 + -8x Reorder the terms: -2 + -5x = -9 + 10x + -8x Combine like terms: 10x + -8x = 2x -2 + -5x = -9 + 2x Solving -2 + -5x = -9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2 + -5x + -2x = -9 + 2x + -2x Combine like terms: -5x + -2x = -7x -2 + -7x = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -7x = -9 + 0 -2 + -7x = -9 Add '2' to each side of the equation. -2 + 2 + -7x = -9 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = -9 + 2 -7x = -9 + 2 Combine like terms: -9 + 2 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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