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Simplifying 10(x + 7) = 105 + 5x Reorder the terms: 10(7 + x) = 105 + 5x (7 * 10 + x * 10) = 105 + 5x (70 + 10x) = 105 + 5x Solving 70 + 10x = 105 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 70 + 10x + -5x = 105 + 5x + -5x Combine like terms: 10x + -5x = 5x 70 + 5x = 105 + 5x + -5x Combine like terms: 5x + -5x = 0 70 + 5x = 105 + 0 70 + 5x = 105 Add '-70' to each side of the equation. 70 + -70 + 5x = 105 + -70 Combine like terms: 70 + -70 = 0 0 + 5x = 105 + -70 5x = 105 + -70 Combine like terms: 105 + -70 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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