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Simplifying 10x + -2 + -3x = 1 + 5x + -21 Reorder the terms: -2 + 10x + -3x = 1 + 5x + -21 Combine like terms: 10x + -3x = 7x -2 + 7x = 1 + 5x + -21 Reorder the terms: -2 + 7x = 1 + -21 + 5x Combine like terms: 1 + -21 = -20 -2 + 7x = -20 + 5x Solving -2 + 7x = -20 + 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. -2 + 7x + -5x = -20 + 5x + -5x Combine like terms: 7x + -5x = 2x -2 + 2x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + 2x = -20 + 0 -2 + 2x = -20 Add '2' to each side of the equation. -2 + 2 + 2x = -20 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = -20 + 2 2x = -20 + 2 Combine like terms: -20 + 2 = -18 2x = -18 Divide each side by '2'. x = -9 Simplifying x = -9
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