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Simplifying 0.05x + 40 = (0.10x + -100) + 35 Reorder the terms: 40 + 0.05x = (0.10x + -100) + 35 Reorder the terms: 40 + 0.05x = (-100 + 0.10x) + 35 Remove parenthesis around (-100 + 0.10x) 40 + 0.05x = -100 + 0.10x + 35 Reorder the terms: 40 + 0.05x = -100 + 35 + 0.10x Combine like terms: -100 + 35 = -65 40 + 0.05x = -65 + 0.10x Solving 40 + 0.05x = -65 + 0.10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.10x' to each side of the equation. 40 + 0.05x + -0.10x = -65 + 0.10x + -0.10x Combine like terms: 0.05x + -0.10x = -0.05x 40 + -0.05x = -65 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 40 + -0.05x = -65 + 0.00 40 + -0.05x = -65 Add '-40' to each side of the equation. 40 + -40 + -0.05x = -65 + -40 Combine like terms: 40 + -40 = 0 0 + -0.05x = -65 + -40 -0.05x = -65 + -40 Combine like terms: -65 + -40 = -105 -0.05x = -105 Divide each side by '-0.05'. x = 2100 Simplifying x = 2100
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