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Simplifying 0.06x + 0.03x + 0.006x + -75 = 0.02(x + x + x) Reorder the terms: -75 + 0.06x + 0.03x + 0.006x = 0.02(x + x + x) Combine like terms: 0.06x + 0.03x = 0.09x -75 + 0.09x + 0.006x = 0.02(x + x + x) Combine like terms: 0.09x + 0.006x = 0.096x -75 + 0.096x = 0.02(x + x + x) Combine like terms: x + x = 2x -75 + 0.096x = 0.02(2x + x) Combine like terms: 2x + x = 3x -75 + 0.096x = 0.02(3x) Remove parenthesis around (3x) -75 + 0.096x = 0.02 * 3x Multiply 0.02 * 3 -75 + 0.096x = 0.06x Solving -75 + 0.096x = 0.06x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.06x' to each side of the equation. -75 + 0.096x + -0.06x = 0.06x + -0.06x Combine like terms: 0.096x + -0.06x = 0.036x -75 + 0.036x = 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 -75 + 0.036x = 0.00 Add '75' to each side of the equation. -75 + 75 + 0.036x = 0.00 + 75 Combine like terms: -75 + 75 = 0 0 + 0.036x = 0.00 + 75 0.036x = 0.00 + 75 Combine like terms: 0.00 + 75 = 75 0.036x = 75 Divide each side by '0.036'. x = 2083.333333 Simplifying x = 2083.333333
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