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Simplifying 3x + -9x + -2 = 2x + 10 Reorder the terms: -2 + 3x + -9x = 2x + 10 Combine like terms: 3x + -9x = -6x -2 + -6x = 2x + 10 Reorder the terms: -2 + -6x = 10 + 2x Solving -2 + -6x = 10 + 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 + -6x + -2x = 10 + 2x + -2x Combine like terms: -6x + -2x = -8x -2 + -8x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -8x = 10 + 0 -2 + -8x = 10 Add '2' to each side of the equation. -2 + 2 + -8x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + -8x = 10 + 2 -8x = 10 + 2 Combine like terms: 10 + 2 = 12 -8x = 12 Divide each side by '-8'. x = -1.5 Simplifying x = -1.5
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