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Simplifying 0.11x + 0.7(x + -2) = 0.01(5x + -3) Reorder the terms: 0.11x + 0.7(-2 + x) = 0.01(5x + -3) 0.11x + (-2 * 0.7 + x * 0.7) = 0.01(5x + -3) 0.11x + (-1.4 + 0.7x) = 0.01(5x + -3) Reorder the terms: -1.4 + 0.11x + 0.7x = 0.01(5x + -3) Combine like terms: 0.11x + 0.7x = 0.81x -1.4 + 0.81x = 0.01(5x + -3) Reorder the terms: -1.4 + 0.81x = 0.01(-3 + 5x) -1.4 + 0.81x = (-3 * 0.01 + 5x * 0.01) -1.4 + 0.81x = (-0.03 + 0.05x) Solving -1.4 + 0.81x = -0.03 + 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. -1.4 + 0.81x + -0.05x = -0.03 + 0.05x + -0.05x Combine like terms: 0.81x + -0.05x = 0.76x -1.4 + 0.76x = -0.03 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -1.4 + 0.76x = -0.03 + 0.00 -1.4 + 0.76x = -0.03 Add '1.4' to each side of the equation. -1.4 + 1.4 + 0.76x = -0.03 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + 0.76x = -0.03 + 1.4 0.76x = -0.03 + 1.4 Combine like terms: -0.03 + 1.4 = 1.37 0.76x = 1.37 Divide each side by '0.76'. x = 1.802631579 Simplifying x = 1.802631579
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