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Simplifying 105 + -7x = 3(3(x + 1)) Reorder the terms: 105 + -7x = 3(3(1 + x)) 105 + -7x = 3((1 * 3 + x * 3)) 105 + -7x = 3((3 + 3x)) 105 + -7x = (3 * 3 + 3x * 3) 105 + -7x = (9 + 9x) Solving 105 + -7x = 9 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 105 + -7x + -9x = 9 + 9x + -9x Combine like terms: -7x + -9x = -16x 105 + -16x = 9 + 9x + -9x Combine like terms: 9x + -9x = 0 105 + -16x = 9 + 0 105 + -16x = 9 Add '-105' to each side of the equation. 105 + -105 + -16x = 9 + -105 Combine like terms: 105 + -105 = 0 0 + -16x = 9 + -105 -16x = 9 + -105 Combine like terms: 9 + -105 = -96 -16x = -96 Divide each side by '-16'. x = 6 Simplifying x = 6
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