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Simplifying -0.06x + -0.03(3 + -5x) = 0.06(X + -6) + -0.12 -0.06x + (3 * -0.03 + -5x * -0.03) = 0.06(X + -6) + -0.12 -0.06x + (-0.09 + 0.15x) = 0.06(X + -6) + -0.12 Reorder the terms: -0.09 + -0.06x + 0.15x = 0.06(X + -6) + -0.12 Combine like terms: -0.06x + 0.15x = 0.09x -0.09 + 0.09x = 0.06(X + -6) + -0.12 Reorder the terms: -0.09 + 0.09x = 0.06(-6 + X) + -0.12 -0.09 + 0.09x = (-6 * 0.06 + X * 0.06) + -0.12 -0.09 + 0.09x = (-0.36 + 0.06X) + -0.12 Reorder the terms: -0.09 + 0.09x = -0.36 + -0.12 + 0.06X Combine like terms: -0.36 + -0.12 = -0.48 -0.09 + 0.09x = -0.48 + 0.06X Solving -0.09 + 0.09x = -0.48 + 0.06X Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.09' to each side of the equation. -0.09 + 0.09 + 0.09x = -0.48 + 0.09 + 0.06X Combine like terms: -0.09 + 0.09 = 0.00 0.00 + 0.09x = -0.48 + 0.09 + 0.06X 0.09x = -0.48 + 0.09 + 0.06X Combine like terms: -0.48 + 0.09 = -0.39 0.09x = -0.39 + 0.06X Divide each side by '0.09'. x = -4.333333333 + 0.6666666667X Simplifying x = -4.333333333 + 0.6666666667X
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