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Simplifying 7(5x + 3) = x + 21 Reorder the terms: 7(3 + 5x) = x + 21 (3 * 7 + 5x * 7) = x + 21 (21 + 35x) = x + 21 Reorder the terms: 21 + 35x = 21 + x Add '-21' to each side of the equation. 21 + -21 + 35x = 21 + -21 + x Combine like terms: 21 + -21 = 0 0 + 35x = 21 + -21 + x 35x = 21 + -21 + x Combine like terms: 21 + -21 = 0 35x = 0 + x 35x = x Solving 35x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 35x + -1x = x + -1x Combine like terms: 35x + -1x = 34x 34x = x + -1x Combine like terms: x + -1x = 0 34x = 0 Divide each side by '34'. x = 0 Simplifying x = 0
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