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Simplifying 50x + 15(70) = 40(x + 70) Multiply 15 * 70 50x + 1050 = 40(x + 70) Reorder the terms: 1050 + 50x = 40(x + 70) Reorder the terms: 1050 + 50x = 40(70 + x) 1050 + 50x = (70 * 40 + x * 40) 1050 + 50x = (2800 + 40x) Solving 1050 + 50x = 2800 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 1050 + 50x + -40x = 2800 + 40x + -40x Combine like terms: 50x + -40x = 10x 1050 + 10x = 2800 + 40x + -40x Combine like terms: 40x + -40x = 0 1050 + 10x = 2800 + 0 1050 + 10x = 2800 Add '-1050' to each side of the equation. 1050 + -1050 + 10x = 2800 + -1050 Combine like terms: 1050 + -1050 = 0 0 + 10x = 2800 + -1050 10x = 2800 + -1050 Combine like terms: 2800 + -1050 = 1750 10x = 1750 Divide each side by '10'. x = 175 Simplifying x = 175
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