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Simplifying 7(x + 5) + 1 = 21x + 36 Reorder the terms: 7(5 + x) + 1 = 21x + 36 (5 * 7 + x * 7) + 1 = 21x + 36 (35 + 7x) + 1 = 21x + 36 Reorder the terms: 35 + 1 + 7x = 21x + 36 Combine like terms: 35 + 1 = 36 36 + 7x = 21x + 36 Reorder the terms: 36 + 7x = 36 + 21x Add '-36' to each side of the equation. 36 + -36 + 7x = 36 + -36 + 21x Combine like terms: 36 + -36 = 0 0 + 7x = 36 + -36 + 21x 7x = 36 + -36 + 21x Combine like terms: 36 + -36 = 0 7x = 0 + 21x 7x = 21x Solving 7x = 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. 7x + -21x = 21x + -21x Combine like terms: 7x + -21x = -14x -14x = 21x + -21x Combine like terms: 21x + -21x = 0 -14x = 0 Divide each side by '-14'. x = 0 Simplifying x = 0
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