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Simplifying 0.06x + 0.03x + 0.006x + -75 = 0.02(x + x + 0.6x) Reorder the terms: -75 + 0.06x + 0.03x + 0.006x = 0.02(x + x + 0.6x) Combine like terms: 0.06x + 0.03x = 0.09x -75 + 0.09x + 0.006x = 0.02(x + x + 0.6x) Combine like terms: 0.09x + 0.006x = 0.096x -75 + 0.096x = 0.02(x + x + 0.6x) Combine like terms: x + x = 2x -75 + 0.096x = 0.02(2x + 0.6x) Combine like terms: 2x + 0.6x = 2.6x -75 + 0.096x = 0.02(2.6x) Remove parenthesis around (2.6x) -75 + 0.096x = 0.02 * 2.6x Multiply 0.02 * 2.6 -75 + 0.096x = 0.052x Solving -75 + 0.096x = 0.052x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.052x' to each side of the equation. -75 + 0.096x + -0.052x = 0.052x + -0.052x Combine like terms: 0.096x + -0.052x = 0.044x -75 + 0.044x = 0.052x + -0.052x Combine like terms: 0.052x + -0.052x = 0.000 -75 + 0.044x = 0.000 Add '75' to each side of the equation. -75 + 75 + 0.044x = 0.000 + 75 Combine like terms: -75 + 75 = 0 0 + 0.044x = 0.000 + 75 0.044x = 0.000 + 75 Combine like terms: 0.000 + 75 = 75 0.044x = 75 Divide each side by '0.044'. x = 1704.545455 Simplifying x = 1704.545455
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