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Simplifying 0.16x + 0.8(x + -1) = 0.01(4x + -2) Reorder the terms: 0.16x + 0.8(-1 + x) = 0.01(4x + -2) 0.16x + (-1 * 0.8 + x * 0.8) = 0.01(4x + -2) 0.16x + (-0.8 + 0.8x) = 0.01(4x + -2) Reorder the terms: -0.8 + 0.16x + 0.8x = 0.01(4x + -2) Combine like terms: 0.16x + 0.8x = 0.96x -0.8 + 0.96x = 0.01(4x + -2) Reorder the terms: -0.8 + 0.96x = 0.01(-2 + 4x) -0.8 + 0.96x = (-2 * 0.01 + 4x * 0.01) -0.8 + 0.96x = (-0.02 + 0.04x) Solving -0.8 + 0.96x = -0.02 + 0.04x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.04x' to each side of the equation. -0.8 + 0.96x + -0.04x = -0.02 + 0.04x + -0.04x Combine like terms: 0.96x + -0.04x = 0.92x -0.8 + 0.92x = -0.02 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -0.8 + 0.92x = -0.02 + 0.00 -0.8 + 0.92x = -0.02 Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.92x = -0.02 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.92x = -0.02 + 0.8 0.92x = -0.02 + 0.8 Combine like terms: -0.02 + 0.8 = 0.78 0.92x = 0.78 Divide each side by '0.92'. x = 0.847826087 Simplifying x = 0.847826087
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