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Simplifying 21 + 7x = 2(6x + -2) Reorder the terms: 21 + 7x = 2(-2 + 6x) 21 + 7x = (-2 * 2 + 6x * 2) 21 + 7x = (-4 + 12x) Solving 21 + 7x = -4 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 21 + 7x + -12x = -4 + 12x + -12x Combine like terms: 7x + -12x = -5x 21 + -5x = -4 + 12x + -12x Combine like terms: 12x + -12x = 0 21 + -5x = -4 + 0 21 + -5x = -4 Add '-21' to each side of the equation. 21 + -21 + -5x = -4 + -21 Combine like terms: 21 + -21 = 0 0 + -5x = -4 + -21 -5x = -4 + -21 Combine like terms: -4 + -21 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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