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Simplifying 0.15x + 0.8(x + -1) = 0.01(5x + -2) Reorder the terms: 0.15x + 0.8(-1 + x) = 0.01(5x + -2) 0.15x + (-1 * 0.8 + x * 0.8) = 0.01(5x + -2) 0.15x + (-0.8 + 0.8x) = 0.01(5x + -2) Reorder the terms: -0.8 + 0.15x + 0.8x = 0.01(5x + -2) Combine like terms: 0.15x + 0.8x = 0.95x -0.8 + 0.95x = 0.01(5x + -2) Reorder the terms: -0.8 + 0.95x = 0.01(-2 + 5x) -0.8 + 0.95x = (-2 * 0.01 + 5x * 0.01) -0.8 + 0.95x = (-0.02 + 0.05x) Solving -0.8 + 0.95x = -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. -0.8 + 0.95x + -0.05x = -0.02 + 0.05x + -0.05x Combine like terms: 0.95x + -0.05x = 0.9x -0.8 + 0.9x = -0.02 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -0.8 + 0.9x = -0.02 + 0.00 -0.8 + 0.9x = -0.02 Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.9x = -0.02 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.9x = -0.02 + 0.8 0.9x = -0.02 + 0.8 Combine like terms: -0.02 + 0.8 = 0.78 0.9x = 0.78 Divide each side by '0.9'. x = 0.8666666667 Simplifying x = 0.8666666667
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