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Simplifying x + 2 + (-5x) = 2x + 8 Reorder the terms: 2 + x + (-5x) = 2x + 8 Combine like terms: x + (-5x) = -4x 2 + -4x = 2x + 8 Reorder the terms: 2 + -4x = 8 + 2x Solving 2 + -4x = 8 + 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 + -4x + -2x = 8 + 2x + -2x Combine like terms: -4x + -2x = -6x 2 + -6x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + -6x = 8 + 0 2 + -6x = 8 Add '-2' to each side of the equation. 2 + -2 + -6x = 8 + -2 Combine like terms: 2 + -2 = 0 0 + -6x = 8 + -2 -6x = 8 + -2 Combine like terms: 8 + -2 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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