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Simplifying 0.02(x) + 0.09(35 + -1x) = 0.04(35) 0.02x + (35 * 0.09 + -1x * 0.09) = 0.04(35) 0.02x + (3.15 + -0.09x) = 0.04(35) Reorder the terms: 3.15 + 0.02x + -0.09x = 0.04(35) Combine like terms: 0.02x + -0.09x = -0.07x 3.15 + -0.07x = 0.04(35) Multiply 0.04 * 35 3.15 + -0.07x = 1.4 Solving 3.15 + -0.07x = 1.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.15' to each side of the equation. 3.15 + -3.15 + -0.07x = 1.4 + -3.15 Combine like terms: 3.15 + -3.15 = 0.00 0.00 + -0.07x = 1.4 + -3.15 -0.07x = 1.4 + -3.15 Combine like terms: 1.4 + -3.15 = -1.75 -0.07x = -1.75 Divide each side by '-0.07'. x = 25 Simplifying x = 25
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