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Simplifying 2x + -5x + 6 = 12 + 2x + -1 Reorder the terms: 6 + 2x + -5x = 12 + 2x + -1 Combine like terms: 2x + -5x = -3x 6 + -3x = 12 + 2x + -1 Reorder the terms: 6 + -3x = 12 + -1 + 2x Combine like terms: 12 + -1 = 11 6 + -3x = 11 + 2x Solving 6 + -3x = 11 + 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. 6 + -3x + -2x = 11 + 2x + -2x Combine like terms: -3x + -2x = -5x 6 + -5x = 11 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -5x = 11 + 0 6 + -5x = 11 Add '-6' to each side of the equation. 6 + -6 + -5x = 11 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 11 + -6 -5x = 11 + -6 Combine like terms: 11 + -6 = 5 -5x = 5 Divide each side by '-5'. x = -1 Simplifying x = -1
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