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Simplifying 7x + 2 + -10x = -3 + -5x + 21 Reorder the terms: 2 + 7x + -10x = -3 + -5x + 21 Combine like terms: 7x + -10x = -3x 2 + -3x = -3 + -5x + 21 Reorder the terms: 2 + -3x = -3 + 21 + -5x Combine like terms: -3 + 21 = 18 2 + -3x = 18 + -5x Solving 2 + -3x = 18 + -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 + -3x + 5x = 18 + -5x + 5x Combine like terms: -3x + 5x = 2x 2 + 2x = 18 + -5x + 5x Combine like terms: -5x + 5x = 0 2 + 2x = 18 + 0 2 + 2x = 18 Add '-2' to each side of the equation. 2 + -2 + 2x = 18 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 18 + -2 2x = 18 + -2 Combine like terms: 18 + -2 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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