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Simplifying 0.7(6X + 5) = 1.1 + -1(X + 5) Reorder the terms: 0.7(5 + 6X) = 1.1 + -1(X + 5) (5 * 0.7 + 6X * 0.7) = 1.1 + -1(X + 5) (3.5 + 4.2X) = 1.1 + -1(X + 5) Reorder the terms: 3.5 + 4.2X = 1.1 + -1(5 + X) 3.5 + 4.2X = 1.1 + (5 * -1 + X * -1) 3.5 + 4.2X = 1.1 + (-5 + -1X) Combine like terms: 1.1 + -5 = -3.9 3.5 + 4.2X = -3.9 + -1X Solving 3.5 + 4.2X = -3.9 + -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. 3.5 + 4.2X + X = -3.9 + -1X + X Combine like terms: 4.2X + X = 5.2X 3.5 + 5.2X = -3.9 + -1X + X Combine like terms: -1X + X = 0 3.5 + 5.2X = -3.9 + 0 3.5 + 5.2X = -3.9 Add '-3.5' to each side of the equation. 3.5 + -3.5 + 5.2X = -3.9 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 5.2X = -3.9 + -3.5 5.2X = -3.9 + -3.5 Combine like terms: -3.9 + -3.5 = -7.4 5.2X = -7.4 Divide each side by '5.2'. X = -1.423076923 Simplifying X = -1.423076923
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