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Simplifying 10x = 7(x + 15) Reorder the terms: 10x = 7(15 + x) 10x = (15 * 7 + x * 7) 10x = (105 + 7x) Solving 10x = 105 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 10x + -7x = 105 + 7x + -7x Combine like terms: 10x + -7x = 3x 3x = 105 + 7x + -7x Combine like terms: 7x + -7x = 0 3x = 105 + 0 3x = 105 Divide each side by '3'. x = 35 Simplifying x = 35
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