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Simplifying 21 + 7x + -2x + -6 = -8 + 3x + -3 Reorder the terms: 21 + -6 + 7x + -2x = -8 + 3x + -3 Combine like terms: 21 + -6 = 15 15 + 7x + -2x = -8 + 3x + -3 Combine like terms: 7x + -2x = 5x 15 + 5x = -8 + 3x + -3 Reorder the terms: 15 + 5x = -8 + -3 + 3x Combine like terms: -8 + -3 = -11 15 + 5x = -11 + 3x Solving 15 + 5x = -11 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 15 + 5x + -3x = -11 + 3x + -3x Combine like terms: 5x + -3x = 2x 15 + 2x = -11 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + 2x = -11 + 0 15 + 2x = -11 Add '-15' to each side of the equation. 15 + -15 + 2x = -11 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = -11 + -15 2x = -11 + -15 Combine like terms: -11 + -15 = -26 2x = -26 Divide each side by '2'. x = -13 Simplifying x = -13
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