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Simplifying 0.03(x + 2) + -0.5(X + 2) = 0.2x + -0.4 Reorder the terms: 0.03(2 + x) + -0.5(X + 2) = 0.2x + -0.4 (2 * 0.03 + x * 0.03) + -0.5(X + 2) = 0.2x + -0.4 (0.06 + 0.03x) + -0.5(X + 2) = 0.2x + -0.4 Reorder the terms: 0.06 + 0.03x + -0.5(2 + X) = 0.2x + -0.4 0.06 + 0.03x + (2 * -0.5 + X * -0.5) = 0.2x + -0.4 0.06 + 0.03x + (-1 + -0.5X) = 0.2x + -0.4 Reorder the terms: 0.06 + -1 + -0.5X + 0.03x = 0.2x + -0.4 Combine like terms: 0.06 + -1 = -0.94 -0.94 + -0.5X + 0.03x = 0.2x + -0.4 Reorder the terms: -0.94 + -0.5X + 0.03x = -0.4 + 0.2x Solving -0.94 + -0.5X + 0.03x = -0.4 + 0.2x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '0.94' to each side of the equation. -0.94 + -0.5X + 0.94 + 0.03x = -0.4 + 0.94 + 0.2x Reorder the terms: -0.94 + 0.94 + -0.5X + 0.03x = -0.4 + 0.94 + 0.2x Combine like terms: -0.94 + 0.94 = 0.00 0.00 + -0.5X + 0.03x = -0.4 + 0.94 + 0.2x -0.5X + 0.03x = -0.4 + 0.94 + 0.2x Combine like terms: -0.4 + 0.94 = 0.54 -0.5X + 0.03x = 0.54 + 0.2x Add '-0.03x' to each side of the equation. -0.5X + 0.03x + -0.03x = 0.54 + 0.2x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -0.5X + 0.00 = 0.54 + 0.2x + -0.03x -0.5X = 0.54 + 0.2x + -0.03x Combine like terms: 0.2x + -0.03x = 0.17x -0.5X = 0.54 + 0.17x Divide each side by '-0.5'. X = -1.08 + -0.34x Simplifying X = -1.08 + -0.34x
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