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Simplifying 0.13x + 0.08(x + 4) = 0.01(5x + -5) Reorder the terms: 0.13x + 0.08(4 + x) = 0.01(5x + -5) 0.13x + (4 * 0.08 + x * 0.08) = 0.01(5x + -5) 0.13x + (0.32 + 0.08x) = 0.01(5x + -5) Reorder the terms: 0.32 + 0.13x + 0.08x = 0.01(5x + -5) Combine like terms: 0.13x + 0.08x = 0.21x 0.32 + 0.21x = 0.01(5x + -5) Reorder the terms: 0.32 + 0.21x = 0.01(-5 + 5x) 0.32 + 0.21x = (-5 * 0.01 + 5x * 0.01) 0.32 + 0.21x = (-0.05 + 0.05x) Solving 0.32 + 0.21x = -0.05 + 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. 0.32 + 0.21x + -0.05x = -0.05 + 0.05x + -0.05x Combine like terms: 0.21x + -0.05x = 0.16x 0.32 + 0.16x = -0.05 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 0.32 + 0.16x = -0.05 + 0.00 0.32 + 0.16x = -0.05 Add '-0.32' to each side of the equation. 0.32 + -0.32 + 0.16x = -0.05 + -0.32 Combine like terms: 0.32 + -0.32 = 0.00 0.00 + 0.16x = -0.05 + -0.32 0.16x = -0.05 + -0.32 Combine like terms: -0.05 + -0.32 = -0.37 0.16x = -0.37 Divide each side by '0.16'. x = -2.3125 Simplifying x = -2.3125
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