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Simplifying 7(x + 10) = 2x + 105 Reorder the terms: 7(10 + x) = 2x + 105 (10 * 7 + x * 7) = 2x + 105 (70 + 7x) = 2x + 105 Reorder the terms: 70 + 7x = 105 + 2x Solving 70 + 7x = 105 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 70 + 7x + -2x = 105 + 2x + -2x Combine like terms: 7x + -2x = 5x 70 + 5x = 105 + 2x + -2x Combine like terms: 2x + -2x = 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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