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Simplifying -0.45(40) + 0.8X = 0.3(40 + X) Multiply -0.45 * 40 -18 + 0.8X = 0.3(40 + X) -18 + 0.8X = (40 * 0.3 + X * 0.3) -18 + 0.8X = (12 + 0.3X) Solving -18 + 0.8X = 12 + 0.3X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.3X' to each side of the equation. -18 + 0.8X + -0.3X = 12 + 0.3X + -0.3X Combine like terms: 0.8X + -0.3X = 0.5X -18 + 0.5X = 12 + 0.3X + -0.3X Combine like terms: 0.3X + -0.3X = 0.0 -18 + 0.5X = 12 + 0.0 -18 + 0.5X = 12 Add '18' to each side of the equation. -18 + 18 + 0.5X = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 0.5X = 12 + 18 0.5X = 12 + 18 Combine like terms: 12 + 18 = 30 0.5X = 30 Divide each side by '0.5'. X = 60 Simplifying X = 60
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