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Simplifying 70 * 10 + 30x = 45(10 + x) Multiply 70 * 10 700 + 30x = 45(10 + x) 700 + 30x = (10 * 45 + x * 45) 700 + 30x = (450 + 45x) Solving 700 + 30x = 450 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. 700 + 30x + -45x = 450 + 45x + -45x Combine like terms: 30x + -45x = -15x 700 + -15x = 450 + 45x + -45x Combine like terms: 45x + -45x = 0 700 + -15x = 450 + 0 700 + -15x = 450 Add '-700' to each side of the equation. 700 + -700 + -15x = 450 + -700 Combine like terms: 700 + -700 = 0 0 + -15x = 450 + -700 -15x = 450 + -700 Combine like terms: 450 + -700 = -250 -15x = -250 Divide each side by '-15'. x = 16.66666667 Simplifying x = 16.66666667
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