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Simplifying 2x + 5 + -5x + -4 = 6 + -2x + 6 Reorder the terms: 5 + -4 + 2x + -5x = 6 + -2x + 6 Combine like terms: 5 + -4 = 1 1 + 2x + -5x = 6 + -2x + 6 Combine like terms: 2x + -5x = -3x 1 + -3x = 6 + -2x + 6 Reorder the terms: 1 + -3x = 6 + 6 + -2x Combine like terms: 6 + 6 = 12 1 + -3x = 12 + -2x Solving 1 + -3x = 12 + -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. 1 + -3x + 2x = 12 + -2x + 2x Combine like terms: -3x + 2x = -1x 1 + -1x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + -1x = 12 + 0 1 + -1x = 12 Add '-1' to each side of the equation. 1 + -1 + -1x = 12 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 12 + -1 -1x = 12 + -1 Combine like terms: 12 + -1 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11
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