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Simplifying 0.15x + 0.8(x + -3) = 0.01(5x + -1) Reorder the terms: 0.15x + 0.8(-3 + x) = 0.01(5x + -1) 0.15x + (-3 * 0.8 + x * 0.8) = 0.01(5x + -1) 0.15x + (-2.4 + 0.8x) = 0.01(5x + -1) Reorder the terms: -2.4 + 0.15x + 0.8x = 0.01(5x + -1) Combine like terms: 0.15x + 0.8x = 0.95x -2.4 + 0.95x = 0.01(5x + -1) Reorder the terms: -2.4 + 0.95x = 0.01(-1 + 5x) -2.4 + 0.95x = (-1 * 0.01 + 5x * 0.01) -2.4 + 0.95x = (-0.01 + 0.05x) Solving -2.4 + 0.95x = -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. -2.4 + 0.95x + -0.05x = -0.01 + 0.05x + -0.05x Combine like terms: 0.95x + -0.05x = 0.9x -2.4 + 0.9x = -0.01 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -2.4 + 0.9x = -0.01 + 0.00 -2.4 + 0.9x = -0.01 Add '2.4' to each side of the equation. -2.4 + 2.4 + 0.9x = -0.01 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + 0.9x = -0.01 + 2.4 0.9x = -0.01 + 2.4 Combine like terms: -0.01 + 2.4 = 2.39 0.9x = 2.39 Divide each side by '0.9'. x = 2.655555556 Simplifying x = 2.655555556
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