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Simplifying 0.9x + -0.8(10 + -5X) = -0.3(x + -8) 0.9x + (10 * -0.8 + -5X * -0.8) = -0.3(x + -8) 0.9x + (-8 + 4X) = -0.3(x + -8) Reorder the terms: -8 + 4X + 0.9x = -0.3(x + -8) Reorder the terms: -8 + 4X + 0.9x = -0.3(-8 + x) -8 + 4X + 0.9x = (-8 * -0.3 + x * -0.3) -8 + 4X + 0.9x = (2.4 + -0.3x) Solving -8 + 4X + 0.9x = 2.4 + -0.3x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 4X + 8 + 0.9x = 2.4 + 8 + -0.3x Reorder the terms: -8 + 8 + 4X + 0.9x = 2.4 + 8 + -0.3x Combine like terms: -8 + 8 = 0 0 + 4X + 0.9x = 2.4 + 8 + -0.3x 4X + 0.9x = 2.4 + 8 + -0.3x Combine like terms: 2.4 + 8 = 10.4 4X + 0.9x = 10.4 + -0.3x Add '-0.9x' to each side of the equation. 4X + 0.9x + -0.9x = 10.4 + -0.3x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 4X + 0.0 = 10.4 + -0.3x + -0.9x 4X = 10.4 + -0.3x + -0.9x Combine like terms: -0.3x + -0.9x = -1.2x 4X = 10.4 + -1.2x Divide each side by '4'. X = 2.6 + -0.3x Simplifying X = 2.6 + -0.3x
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