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Simplifying 21x + 452 = 32 + -84x Reorder the terms: 452 + 21x = 32 + -84x Solving 452 + 21x = 32 + -84x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '84x' to each side of the equation. 452 + 21x + 84x = 32 + -84x + 84x Combine like terms: 21x + 84x = 105x 452 + 105x = 32 + -84x + 84x Combine like terms: -84x + 84x = 0 452 + 105x = 32 + 0 452 + 105x = 32 Add '-452' to each side of the equation. 452 + -452 + 105x = 32 + -452 Combine like terms: 452 + -452 = 0 0 + 105x = 32 + -452 105x = 32 + -452 Combine like terms: 32 + -452 = -420 105x = -420 Divide each side by '105'. x = -4 Simplifying x = -4
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