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Simplifying 0.4X + -2.5 = 1.3X + 4.2 Reorder the terms: -2.5 + 0.4X = 1.3X + 4.2 Reorder the terms: -2.5 + 0.4X = 4.2 + 1.3X Solving -2.5 + 0.4X = 4.2 + 1.3X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1.3X' to each side of the equation. -2.5 + 0.4X + -1.3X = 4.2 + 1.3X + -1.3X Combine like terms: 0.4X + -1.3X = -0.9X -2.5 + -0.9X = 4.2 + 1.3X + -1.3X Combine like terms: 1.3X + -1.3X = 0.0 -2.5 + -0.9X = 4.2 + 0.0 -2.5 + -0.9X = 4.2 Add '2.5' to each side of the equation. -2.5 + 2.5 + -0.9X = 4.2 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + -0.9X = 4.2 + 2.5 -0.9X = 4.2 + 2.5 Combine like terms: 4.2 + 2.5 = 6.7 -0.9X = 6.7 Divide each side by '-0.9'. X = -7.444444444 Simplifying X = -7.444444444
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