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Simplifying 7x + 7(x + -15) = 49 Reorder the terms: 7x + 7(-15 + x) = 49 7x + (-15 * 7 + x * 7) = 49 7x + (-105 + 7x) = 49 Reorder the terms: -105 + 7x + 7x = 49 Combine like terms: 7x + 7x = 14x -105 + 14x = 49 Solving -105 + 14x = 49 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '105' to each side of the equation. -105 + 105 + 14x = 49 + 105 Combine like terms: -105 + 105 = 0 0 + 14x = 49 + 105 14x = 49 + 105 Combine like terms: 49 + 105 = 154 14x = 154 Divide each side by '14'. x = 11 Simplifying x = 11
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