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Simplifying 7(x + 2) + 1 = 15 + -7x Reorder the terms: 7(2 + x) + 1 = 15 + -7x (2 * 7 + x * 7) + 1 = 15 + -7x (14 + 7x) + 1 = 15 + -7x Reorder the terms: 14 + 1 + 7x = 15 + -7x Combine like terms: 14 + 1 = 15 15 + 7x = 15 + -7x Add '-15' to each side of the equation. 15 + -15 + 7x = 15 + -15 + -7x Combine like terms: 15 + -15 = 0 0 + 7x = 15 + -15 + -7x 7x = 15 + -15 + -7x Combine like terms: 15 + -15 = 0 7x = 0 + -7x 7x = -7x Solving 7x = -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 7x + 7x = -7x + 7x Combine like terms: 7x + 7x = 14x 14x = -7x + 7x Combine like terms: -7x + 7x = 0 14x = 0 Divide each side by '14'. x = 0 Simplifying x = 0
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