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Simplifying 0.16x + 0.5(x + -5) = 0.01(5x + -2) Reorder the terms: 0.16x + 0.5(-5 + x) = 0.01(5x + -2) 0.16x + (-5 * 0.5 + x * 0.5) = 0.01(5x + -2) 0.16x + (-2.5 + 0.5x) = 0.01(5x + -2) Reorder the terms: -2.5 + 0.16x + 0.5x = 0.01(5x + -2) Combine like terms: 0.16x + 0.5x = 0.66x -2.5 + 0.66x = 0.01(5x + -2) Reorder the terms: -2.5 + 0.66x = 0.01(-2 + 5x) -2.5 + 0.66x = (-2 * 0.01 + 5x * 0.01) -2.5 + 0.66x = (-0.02 + 0.05x) Solving -2.5 + 0.66x = -0.02 + 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. -2.5 + 0.66x + -0.05x = -0.02 + 0.05x + -0.05x Combine like terms: 0.66x + -0.05x = 0.61x -2.5 + 0.61x = -0.02 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -2.5 + 0.61x = -0.02 + 0.00 -2.5 + 0.61x = -0.02 Add '2.5' to each side of the equation. -2.5 + 2.5 + 0.61x = -0.02 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + 0.61x = -0.02 + 2.5 0.61x = -0.02 + 2.5 Combine like terms: -0.02 + 2.5 = 2.48 0.61x = 2.48 Divide each side by '0.61'. x = 4.06557377 Simplifying x = 4.06557377
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