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Simplifying 0.11x + 0.9(x + -2) = 0.01(5x + -4) Reorder the terms: 0.11x + 0.9(-2 + x) = 0.01(5x + -4) 0.11x + (-2 * 0.9 + x * 0.9) = 0.01(5x + -4) 0.11x + (-1.8 + 0.9x) = 0.01(5x + -4) Reorder the terms: -1.8 + 0.11x + 0.9x = 0.01(5x + -4) Combine like terms: 0.11x + 0.9x = 1.01x -1.8 + 1.01x = 0.01(5x + -4) Reorder the terms: -1.8 + 1.01x = 0.01(-4 + 5x) -1.8 + 1.01x = (-4 * 0.01 + 5x * 0.01) -1.8 + 1.01x = (-0.04 + 0.05x) Solving -1.8 + 1.01x = -0.04 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. -1.8 + 1.01x + -0.05x = -0.04 + 0.05x + -0.05x Combine like terms: 1.01x + -0.05x = 0.96x -1.8 + 0.96x = -0.04 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -1.8 + 0.96x = -0.04 + 0.00 -1.8 + 0.96x = -0.04 Add '1.8' to each side of the equation. -1.8 + 1.8 + 0.96x = -0.04 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + 0.96x = -0.04 + 1.8 0.96x = -0.04 + 1.8 Combine like terms: -0.04 + 1.8 = 1.76 0.96x = 1.76 Divide each side by '0.96'. x = 1.833333333 Simplifying x = 1.833333333
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