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Simplifying -6 + 2x + -5 = 5x + 10 + -3 Reorder the terms: -6 + -5 + 2x = 5x + 10 + -3 Combine like terms: -6 + -5 = -11 -11 + 2x = 5x + 10 + -3 Reorder the terms: -11 + 2x = 10 + -3 + 5x Combine like terms: 10 + -3 = 7 -11 + 2x = 7 + 5x Solving -11 + 2x = 7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -11 + 2x + -5x = 7 + 5x + -5x Combine like terms: 2x + -5x = -3x -11 + -3x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 -11 + -3x = 7 + 0 -11 + -3x = 7 Add '11' to each side of the equation. -11 + 11 + -3x = 7 + 11 Combine like terms: -11 + 11 = 0 0 + -3x = 7 + 11 -3x = 7 + 11 Combine like terms: 7 + 11 = 18 -3x = 18 Divide each side by '-3'. x = -6 Simplifying x = -6
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