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Simplifying 3x + -5x + -2 = 6x + x + -7 Reorder the terms: -2 + 3x + -5x = 6x + x + -7 Combine like terms: 3x + -5x = -2x -2 + -2x = 6x + x + -7 Reorder the terms: -2 + -2x = -7 + 6x + x Combine like terms: 6x + x = 7x -2 + -2x = -7 + 7x Solving -2 + -2x = -7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -2 + -2x + -7x = -7 + 7x + -7x Combine like terms: -2x + -7x = -9x -2 + -9x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -9x = -7 + 0 -2 + -9x = -7 Add '2' to each side of the equation. -2 + 2 + -9x = -7 + 2 Combine like terms: -2 + 2 = 0 0 + -9x = -7 + 2 -9x = -7 + 2 Combine like terms: -7 + 2 = -5 -9x = -5 Divide each side by '-9'. x = 0.5555555556 Simplifying x = 0.5555555556
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