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Simplifying 0.5X + 0.1 = 0.7X + -1.3 Reorder the terms: 0.1 + 0.5X = 0.7X + -1.3 Reorder the terms: 0.1 + 0.5X = -1.3 + 0.7X Solving 0.1 + 0.5X = -1.3 + 0.7X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.7X' to each side of the equation. 0.1 + 0.5X + -0.7X = -1.3 + 0.7X + -0.7X Combine like terms: 0.5X + -0.7X = -0.2X 0.1 + -0.2X = -1.3 + 0.7X + -0.7X Combine like terms: 0.7X + -0.7X = 0.0 0.1 + -0.2X = -1.3 + 0.0 0.1 + -0.2X = -1.3 Add '-0.1' to each side of the equation. 0.1 + -0.1 + -0.2X = -1.3 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + -0.2X = -1.3 + -0.1 -0.2X = -1.3 + -0.1 Combine like terms: -1.3 + -0.1 = -1.4 -0.2X = -1.4 Divide each side by '-0.2'. X = 7 Simplifying X = 7
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