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Simplifying 7.8(X + -2) = -0.2X + 48.4 Reorder the terms: 7.8(-2 + X) = -0.2X + 48.4 (-2 * 7.8 + X * 7.8) = -0.2X + 48.4 (-15.6 + 7.8X) = -0.2X + 48.4 Reorder the terms: -15.6 + 7.8X = 48.4 + -0.2X Solving -15.6 + 7.8X = 48.4 + -0.2X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '0.2X' to each side of the equation. -15.6 + 7.8X + 0.2X = 48.4 + -0.2X + 0.2X Combine like terms: 7.8X + 0.2X = 8X -15.6 + 8X = 48.4 + -0.2X + 0.2X Combine like terms: -0.2X + 0.2X = 0.0 -15.6 + 8X = 48.4 + 0.0 -15.6 + 8X = 48.4 Add '15.6' to each side of the equation. -15.6 + 15.6 + 8X = 48.4 + 15.6 Combine like terms: -15.6 + 15.6 = 0.0 0.0 + 8X = 48.4 + 15.6 8X = 48.4 + 15.6 Combine like terms: 48.4 + 15.6 = 64 8X = 64 Divide each side by '8'. X = 8 Simplifying X = 8
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