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Simplifying 0.12x + 0.8(x + -2) = 0.01(5x + -4) Reorder the terms: 0.12x + 0.8(-2 + x) = 0.01(5x + -4) 0.12x + (-2 * 0.8 + x * 0.8) = 0.01(5x + -4) 0.12x + (-1.6 + 0.8x) = 0.01(5x + -4) Reorder the terms: -1.6 + 0.12x + 0.8x = 0.01(5x + -4) Combine like terms: 0.12x + 0.8x = 0.92x -1.6 + 0.92x = 0.01(5x + -4) Reorder the terms: -1.6 + 0.92x = 0.01(-4 + 5x) -1.6 + 0.92x = (-4 * 0.01 + 5x * 0.01) -1.6 + 0.92x = (-0.04 + 0.05x) Solving -1.6 + 0.92x = -0.04 + 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. -1.6 + 0.92x + -0.05x = -0.04 + 0.05x + -0.05x Combine like terms: 0.92x + -0.05x = 0.87x -1.6 + 0.87x = -0.04 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -1.6 + 0.87x = -0.04 + 0.00 -1.6 + 0.87x = -0.04 Add '1.6' to each side of the equation. -1.6 + 1.6 + 0.87x = -0.04 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + 0.87x = -0.04 + 1.6 0.87x = -0.04 + 1.6 Combine like terms: -0.04 + 1.6 = 1.56 0.87x = 1.56 Divide each side by '0.87'. x = 1.793103448 Simplifying x = 1.793103448
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