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Simplifying 105 = 5 + 10(3x + 7) Reorder the terms: 105 = 5 + 10(7 + 3x) 105 = 5 + (7 * 10 + 3x * 10) 105 = 5 + (70 + 30x) Combine like terms: 5 + 70 = 75 105 = 75 + 30x Solving 105 = 75 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 105 + -30x = 75 + 30x + -30x Combine like terms: 30x + -30x = 0 105 + -30x = 75 + 0 105 + -30x = 75 Add '-105' to each side of the equation. 105 + -105 + -30x = 75 + -105 Combine like terms: 105 + -105 = 0 0 + -30x = 75 + -105 -30x = 75 + -105 Combine like terms: 75 + -105 = -30 -30x = -30 Divide each side by '-30'. x = 1 Simplifying x = 1
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