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Simplifying -0.01(5x + 4) = 0.04 + -1(x + 4) Reorder the terms: -0.01(4 + 5x) = 0.04 + -1(x + 4) (4 * -0.01 + 5x * -0.01) = 0.04 + -1(x + 4) (-0.04 + -0.05x) = 0.04 + -1(x + 4) Reorder the terms: -0.04 + -0.05x = 0.04 + -1(4 + x) -0.04 + -0.05x = 0.04 + (4 * -1 + x * -1) -0.04 + -0.05x = 0.04 + (-4 + -1x) Combine like terms: 0.04 + -4 = -3.96 -0.04 + -0.05x = -3.96 + -1x Solving -0.04 + -0.05x = -3.96 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -0.04 + -0.05x + x = -3.96 + -1x + x Combine like terms: -0.05x + x = 0.95x -0.04 + 0.95x = -3.96 + -1x + x Combine like terms: -1x + x = 0 -0.04 + 0.95x = -3.96 + 0 -0.04 + 0.95x = -3.96 Add '0.04' to each side of the equation. -0.04 + 0.04 + 0.95x = -3.96 + 0.04 Combine like terms: -0.04 + 0.04 = 0.00 0.00 + 0.95x = -3.96 + 0.04 0.95x = -3.96 + 0.04 Combine like terms: -3.96 + 0.04 = -3.92 0.95x = -3.92 Divide each side by '0.95'. x = -4.126315789 Simplifying x = -4.126315789
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