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Simplifying 50x + 20(70) = 40(x + 70) Multiply 20 * 70 50x + 1400 = 40(x + 70) Reorder the terms: 1400 + 50x = 40(x + 70) Reorder the terms: 1400 + 50x = 40(70 + x) 1400 + 50x = (70 * 40 + x * 40) 1400 + 50x = (2800 + 40x) Solving 1400 + 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. 1400 + 50x + -40x = 2800 + 40x + -40x Combine like terms: 50x + -40x = 10x 1400 + 10x = 2800 + 40x + -40x Combine like terms: 40x + -40x = 0 1400 + 10x = 2800 + 0 1400 + 10x = 2800 Add '-1400' to each side of the equation. 1400 + -1400 + 10x = 2800 + -1400 Combine like terms: 1400 + -1400 = 0 0 + 10x = 2800 + -1400 10x = 2800 + -1400 Combine like terms: 2800 + -1400 = 1400 10x = 1400 Divide each side by '10'. x = 140 Simplifying x = 140
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