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Simplifying 0.16x + 0.9(x + -1) = 0.01(5x + -1) Reorder the terms: 0.16x + 0.9(-1 + x) = 0.01(5x + -1) 0.16x + (-1 * 0.9 + x * 0.9) = 0.01(5x + -1) 0.16x + (-0.9 + 0.9x) = 0.01(5x + -1) Reorder the terms: -0.9 + 0.16x + 0.9x = 0.01(5x + -1) Combine like terms: 0.16x + 0.9x = 1.06x -0.9 + 1.06x = 0.01(5x + -1) Reorder the terms: -0.9 + 1.06x = 0.01(-1 + 5x) -0.9 + 1.06x = (-1 * 0.01 + 5x * 0.01) -0.9 + 1.06x = (-0.01 + 0.05x) Solving -0.9 + 1.06x = -0.01 + 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. -0.9 + 1.06x + -0.05x = -0.01 + 0.05x + -0.05x Combine like terms: 1.06x + -0.05x = 1.01x -0.9 + 1.01x = -0.01 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -0.9 + 1.01x = -0.01 + 0.00 -0.9 + 1.01x = -0.01 Add '0.9' to each side of the equation. -0.9 + 0.9 + 1.01x = -0.01 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + 1.01x = -0.01 + 0.9 1.01x = -0.01 + 0.9 Combine like terms: -0.01 + 0.9 = 0.89 1.01x = 0.89 Divide each side by '1.01'. x = 0.8811881188 Simplifying x = 0.8811881188
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