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Simplifying -0.01(5x + 4) = 0.04 + -0.011(x + 4) Reorder the terms: -0.01(4 + 5x) = 0.04 + -0.011(x + 4) (4 * -0.01 + 5x * -0.01) = 0.04 + -0.011(x + 4) (-0.04 + -0.05x) = 0.04 + -0.011(x + 4) Reorder the terms: -0.04 + -0.05x = 0.04 + -0.011(4 + x) -0.04 + -0.05x = 0.04 + (4 * -0.011 + x * -0.011) -0.04 + -0.05x = 0.04 + (-0.044 + -0.011x) Combine like terms: 0.04 + -0.044 = -0.004 -0.04 + -0.05x = -0.004 + -0.011x Solving -0.04 + -0.05x = -0.004 + -0.011x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.011x' to each side of the equation. -0.04 + -0.05x + 0.011x = -0.004 + -0.011x + 0.011x Combine like terms: -0.05x + 0.011x = -0.039x -0.04 + -0.039x = -0.004 + -0.011x + 0.011x Combine like terms: -0.011x + 0.011x = 0.000 -0.04 + -0.039x = -0.004 + 0.000 -0.04 + -0.039x = -0.004 Add '0.04' to each side of the equation. -0.04 + 0.04 + -0.039x = -0.004 + 0.04 Combine like terms: -0.04 + 0.04 = 0.00 0.00 + -0.039x = -0.004 + 0.04 -0.039x = -0.004 + 0.04 Combine like terms: -0.004 + 0.04 = 0.036 -0.039x = 0.036 Divide each side by '-0.039'. x = -0.9230769231 Simplifying x = -0.9230769231
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