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Simplifying 0.13x + 0.5(x + -4) = 0.01(5x + -3) Reorder the terms: 0.13x + 0.5(-4 + x) = 0.01(5x + -3) 0.13x + (-4 * 0.5 + x * 0.5) = 0.01(5x + -3) 0.13x + (-2 + 0.5x) = 0.01(5x + -3) Reorder the terms: -2 + 0.13x + 0.5x = 0.01(5x + -3) Combine like terms: 0.13x + 0.5x = 0.63x -2 + 0.63x = 0.01(5x + -3) Reorder the terms: -2 + 0.63x = 0.01(-3 + 5x) -2 + 0.63x = (-3 * 0.01 + 5x * 0.01) -2 + 0.63x = (-0.03 + 0.05x) Solving -2 + 0.63x = -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. -2 + 0.63x + -0.05x = -0.03 + 0.05x + -0.05x Combine like terms: 0.63x + -0.05x = 0.58x -2 + 0.58x = -0.03 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -2 + 0.58x = -0.03 + 0.00 -2 + 0.58x = -0.03 Add '2' to each side of the equation. -2 + 2 + 0.58x = -0.03 + 2 Combine like terms: -2 + 2 = 0 0 + 0.58x = -0.03 + 2 0.58x = -0.03 + 2 Combine like terms: -0.03 + 2 = 1.97 0.58x = 1.97 Divide each side by '0.58'. x = 3.396551724 Simplifying x = 3.396551724
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