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Simplifying 0.7(4X + 8) = 1.2 + -1(X + 2) Reorder the terms: 0.7(8 + 4X) = 1.2 + -1(X + 2) (8 * 0.7 + 4X * 0.7) = 1.2 + -1(X + 2) (5.6 + 2.8X) = 1.2 + -1(X + 2) Reorder the terms: 5.6 + 2.8X = 1.2 + -1(2 + X) 5.6 + 2.8X = 1.2 + (2 * -1 + X * -1) 5.6 + 2.8X = 1.2 + (-2 + -1X) Combine like terms: 1.2 + -2 = -0.8 5.6 + 2.8X = -0.8 + -1X Solving 5.6 + 2.8X = -0.8 + -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. 5.6 + 2.8X + X = -0.8 + -1X + X Combine like terms: 2.8X + X = 3.8X 5.6 + 3.8X = -0.8 + -1X + X Combine like terms: -1X + X = 0 5.6 + 3.8X = -0.8 + 0 5.6 + 3.8X = -0.8 Add '-5.6' to each side of the equation. 5.6 + -5.6 + 3.8X = -0.8 + -5.6 Combine like terms: 5.6 + -5.6 = 0.0 0.0 + 3.8X = -0.8 + -5.6 3.8X = -0.8 + -5.6 Combine like terms: -0.8 + -5.6 = -6.4 3.8X = -6.4 Divide each side by '3.8'. X = -1.684210526 Simplifying X = -1.684210526
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