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Simplifying 0.6(7X + 8) = 1.9 + -1(X + -3) Reorder the terms: 0.6(8 + 7X) = 1.9 + -1(X + -3) (8 * 0.6 + 7X * 0.6) = 1.9 + -1(X + -3) (4.8 + 4.2X) = 1.9 + -1(X + -3) Reorder the terms: 4.8 + 4.2X = 1.9 + -1(-3 + X) 4.8 + 4.2X = 1.9 + (-3 * -1 + X * -1) 4.8 + 4.2X = 1.9 + (3 + -1X) Combine like terms: 1.9 + 3 = 4.9 4.8 + 4.2X = 4.9 + -1X Solving 4.8 + 4.2X = 4.9 + -1X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add 'X' to each side of the equation. 4.8 + 4.2X + X = 4.9 + -1X + X Combine like terms: 4.2X + X = 5.2X 4.8 + 5.2X = 4.9 + -1X + X Combine like terms: -1X + X = 0 4.8 + 5.2X = 4.9 + 0 4.8 + 5.2X = 4.9 Add '-4.8' to each side of the equation. 4.8 + -4.8 + 5.2X = 4.9 + -4.8 Combine like terms: 4.8 + -4.8 = 0.0 0.0 + 5.2X = 4.9 + -4.8 5.2X = 4.9 + -4.8 Combine like terms: 4.9 + -4.8 = 0.1 5.2X = 0.1 Divide each side by '5.2'. X = 0.01923076923 Simplifying X = 0.01923076923
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