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Simplifying 5x + 10 = 21x + 42 Reorder the terms: 10 + 5x = 21x + 42 Reorder the terms: 10 + 5x = 42 + 21x Solving 10 + 5x = 42 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 10 + 5x + -21x = 42 + 21x + -21x Combine like terms: 5x + -21x = -16x 10 + -16x = 42 + 21x + -21x Combine like terms: 21x + -21x = 0 10 + -16x = 42 + 0 10 + -16x = 42 Add '-10' to each side of the equation. 10 + -10 + -16x = 42 + -10 Combine like terms: 10 + -10 = 0 0 + -16x = 42 + -10 -16x = 42 + -10 Combine like terms: 42 + -10 = 32 -16x = 32 Divide each side by '-16'. x = -2 Simplifying x = -2
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