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Simplifying 0.8(X + 60) + 0.4x = 84 Reorder the terms: 0.8(60 + X) + 0.4x = 84 (60 * 0.8 + X * 0.8) + 0.4x = 84 (48 + 0.8X) + 0.4x = 84 Solving 48 + 0.8X + 0.4x = 84 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + 0.8X + -48 + 0.4x = 84 + -48 Reorder the terms: 48 + -48 + 0.8X + 0.4x = 84 + -48 Combine like terms: 48 + -48 = 0 0 + 0.8X + 0.4x = 84 + -48 0.8X + 0.4x = 84 + -48 Combine like terms: 84 + -48 = 36 0.8X + 0.4x = 36 Add '-0.4x' to each side of the equation. 0.8X + 0.4x + -0.4x = 36 + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 0.8X + 0.0 = 36 + -0.4x 0.8X = 36 + -0.4x Divide each side by '0.8'. X = 45 + -0.5x Simplifying X = 45 + -0.5x
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