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Simplifying 3x + 21 = 6x + -42 Reorder the terms: 21 + 3x = 6x + -42 Reorder the terms: 21 + 3x = -42 + 6x Solving 21 + 3x = -42 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 21 + 3x + -6x = -42 + 6x + -6x Combine like terms: 3x + -6x = -3x 21 + -3x = -42 + 6x + -6x Combine like terms: 6x + -6x = 0 21 + -3x = -42 + 0 21 + -3x = -42 Add '-21' to each side of the equation. 21 + -21 + -3x = -42 + -21 Combine like terms: 21 + -21 = 0 0 + -3x = -42 + -21 -3x = -42 + -21 Combine like terms: -42 + -21 = -63 -3x = -63 Divide each side by '-3'. x = 21 Simplifying x = 21
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