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Simplifying 0.05x + 0.13(x + -3) = 0.2(x + -2) Reorder the terms: 0.05x + 0.13(-3 + x) = 0.2(x + -2) 0.05x + (-3 * 0.13 + x * 0.13) = 0.2(x + -2) 0.05x + (-0.39 + 0.13x) = 0.2(x + -2) Reorder the terms: -0.39 + 0.05x + 0.13x = 0.2(x + -2) Combine like terms: 0.05x + 0.13x = 0.18x -0.39 + 0.18x = 0.2(x + -2) Reorder the terms: -0.39 + 0.18x = 0.2(-2 + x) -0.39 + 0.18x = (-2 * 0.2 + x * 0.2) -0.39 + 0.18x = (-0.4 + 0.2x) Solving -0.39 + 0.18x = -0.4 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. -0.39 + 0.18x + -0.2x = -0.4 + 0.2x + -0.2x Combine like terms: 0.18x + -0.2x = -0.02x -0.39 + -0.02x = -0.4 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -0.39 + -0.02x = -0.4 + 0.0 -0.39 + -0.02x = -0.4 Add '0.39' to each side of the equation. -0.39 + 0.39 + -0.02x = -0.4 + 0.39 Combine like terms: -0.39 + 0.39 = 0.00 0.00 + -0.02x = -0.4 + 0.39 -0.02x = -0.4 + 0.39 Combine like terms: -0.4 + 0.39 = -0.01 -0.02x = -0.01 Divide each side by '-0.02'. x = 0.5 Simplifying x = 0.5
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