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Simplifying 1.2X + -1.4(X + 8) = 10 Reorder the terms: 1.2X + -1.4(8 + X) = 10 1.2X + (8 * -1.4 + X * -1.4) = 10 1.2X + (-11.2 + -1.4X) = 10 Reorder the terms: -11.2 + 1.2X + -1.4X = 10 Combine like terms: 1.2X + -1.4X = -0.2X -11.2 + -0.2X = 10 Solving -11.2 + -0.2X = 10 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '11.2' to each side of the equation. -11.2 + 11.2 + -0.2X = 10 + 11.2 Combine like terms: -11.2 + 11.2 = 0.0 0.0 + -0.2X = 10 + 11.2 -0.2X = 10 + 11.2 Combine like terms: 10 + 11.2 = 21.2 -0.2X = 21.2 Divide each side by '-0.2'. X = -106 Simplifying X = -106
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