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Simplifying 0.8(X + 30) + 0.8x = 88 Reorder the terms: 0.8(30 + X) + 0.8x = 88 (30 * 0.8 + X * 0.8) + 0.8x = 88 (24 + 0.8X) + 0.8x = 88 Solving 24 + 0.8X + 0.8x = 88 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 0.8X + -24 + 0.8x = 88 + -24 Reorder the terms: 24 + -24 + 0.8X + 0.8x = 88 + -24 Combine like terms: 24 + -24 = 0 0 + 0.8X + 0.8x = 88 + -24 0.8X + 0.8x = 88 + -24 Combine like terms: 88 + -24 = 64 0.8X + 0.8x = 64 Add '-0.8x' to each side of the equation. 0.8X + 0.8x + -0.8x = 64 + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 0.8X + 0.0 = 64 + -0.8x 0.8X = 64 + -0.8x Divide each side by '0.8'. X = 80 + -1x Simplifying X = 80 + -1x
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