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Simplifying 0.22(X + 50) + -6 = 0.4(3X + 20) Reorder the terms: 0.22(50 + X) + -6 = 0.4(3X + 20) (50 * 0.22 + X * 0.22) + -6 = 0.4(3X + 20) (11 + 0.22X) + -6 = 0.4(3X + 20) Reorder the terms: 11 + -6 + 0.22X = 0.4(3X + 20) Combine like terms: 11 + -6 = 5 5 + 0.22X = 0.4(3X + 20) Reorder the terms: 5 + 0.22X = 0.4(20 + 3X) 5 + 0.22X = (20 * 0.4 + 3X * 0.4) 5 + 0.22X = (8 + 1.2X) Solving 5 + 0.22X = 8 + 1.2X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1.2X' to each side of the equation. 5 + 0.22X + -1.2X = 8 + 1.2X + -1.2X Combine like terms: 0.22X + -1.2X = -0.98X 5 + -0.98X = 8 + 1.2X + -1.2X Combine like terms: 1.2X + -1.2X = 0.0 5 + -0.98X = 8 + 0.0 5 + -0.98X = 8 Add '-5' to each side of the equation. 5 + -5 + -0.98X = 8 + -5 Combine like terms: 5 + -5 = 0 0 + -0.98X = 8 + -5 -0.98X = 8 + -5 Combine like terms: 8 + -5 = 3 -0.98X = 3 Divide each side by '-0.98'. X = -3.06122449 Simplifying X = -3.06122449
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