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Simplifying 100(0.1x + 0.03(7 + -1x)) = (0.05(7)) 100(0.1x + (7 * 0.03 + -1x * 0.03)) = (0.05(7)) 100(0.1x + (0.21 + -0.03x)) = (0.05(7)) Reorder the terms: 100(0.21 + 0.1x + -0.03x) = (0.05(7)) Combine like terms: 0.1x + -0.03x = 0.07x 100(0.21 + 0.07x) = (0.05(7)) (0.21 * 100 + 0.07x * 100) = (0.05(7)) (21 + 7x) = (0.05(7)) Multiply 0.05 * 7 21 + 7x = (0.35) 21 + 7x = 0.35 Solving 21 + 7x = 0.35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 7x = 0.35 + -21 Combine like terms: 21 + -21 = 0 0 + 7x = 0.35 + -21 7x = 0.35 + -21 Combine like terms: 0.35 + -21 = -20.65 7x = -20.65 Divide each side by '7'. x = -2.95 Simplifying x = -2.95
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