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Simplifying 0.13x + 0.8(x + -1) = 0.01(5x + -5) Reorder the terms: 0.13x + 0.8(-1 + x) = 0.01(5x + -5) 0.13x + (-1 * 0.8 + x * 0.8) = 0.01(5x + -5) 0.13x + (-0.8 + 0.8x) = 0.01(5x + -5) Reorder the terms: -0.8 + 0.13x + 0.8x = 0.01(5x + -5) Combine like terms: 0.13x + 0.8x = 0.93x -0.8 + 0.93x = 0.01(5x + -5) Reorder the terms: -0.8 + 0.93x = 0.01(-5 + 5x) -0.8 + 0.93x = (-5 * 0.01 + 5x * 0.01) -0.8 + 0.93x = (-0.05 + 0.05x) Solving -0.8 + 0.93x = -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. -0.8 + 0.93x + -0.05x = -0.05 + 0.05x + -0.05x Combine like terms: 0.93x + -0.05x = 0.88x -0.8 + 0.88x = -0.05 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -0.8 + 0.88x = -0.05 + 0.00 -0.8 + 0.88x = -0.05 Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.88x = -0.05 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.88x = -0.05 + 0.8 0.88x = -0.05 + 0.8 Combine like terms: -0.05 + 0.8 = 0.75 0.88x = 0.75 Divide each side by '0.88'. x = 0.8522727273 Simplifying x = 0.8522727273
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