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