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Simplifying 8x + 10 + 2x + 32 = 3x + 21 Reorder the terms: 10 + 32 + 8x + 2x = 3x + 21 Combine like terms: 10 + 32 = 42 42 + 8x + 2x = 3x + 21 Combine like terms: 8x + 2x = 10x 42 + 10x = 3x + 21 Reorder the terms: 42 + 10x = 21 + 3x Solving 42 + 10x = 21 + 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. 42 + 10x + -3x = 21 + 3x + -3x Combine like terms: 10x + -3x = 7x 42 + 7x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 42 + 7x = 21 + 0 42 + 7x = 21 Add '-42' to each side of the equation. 42 + -42 + 7x = 21 + -42 Combine like terms: 42 + -42 = 0 0 + 7x = 21 + -42 7x = 21 + -42 Combine like terms: 21 + -42 = -21 7x = -21 Divide each side by '7'. x = -3 Simplifying x = -3
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