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Simplifying 0.14x + 0.6(x + -2) = 0.01(5x + -1) Reorder the terms: 0.14x + 0.6(-2 + x) = 0.01(5x + -1) 0.14x + (-2 * 0.6 + x * 0.6) = 0.01(5x + -1) 0.14x + (-1.2 + 0.6x) = 0.01(5x + -1) Reorder the terms: -1.2 + 0.14x + 0.6x = 0.01(5x + -1) Combine like terms: 0.14x + 0.6x = 0.74x -1.2 + 0.74x = 0.01(5x + -1) Reorder the terms: -1.2 + 0.74x = 0.01(-1 + 5x) -1.2 + 0.74x = (-1 * 0.01 + 5x * 0.01) -1.2 + 0.74x = (-0.01 + 0.05x) Solving -1.2 + 0.74x = -0.01 + 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. -1.2 + 0.74x + -0.05x = -0.01 + 0.05x + -0.05x Combine like terms: 0.74x + -0.05x = 0.69x -1.2 + 0.69x = -0.01 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -1.2 + 0.69x = -0.01 + 0.00 -1.2 + 0.69x = -0.01 Add '1.2' to each side of the equation. -1.2 + 1.2 + 0.69x = -0.01 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 0.69x = -0.01 + 1.2 0.69x = -0.01 + 1.2 Combine like terms: -0.01 + 1.2 = 1.19 0.69x = 1.19 Divide each side by '0.69'. x = 1.724637681 Simplifying x = 1.724637681
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