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Simplifying 0.1x + -0.8(10 + -3x) = -0.5(x + -8) 0.1x + (10 * -0.8 + -3x * -0.8) = -0.5(x + -8) 0.1x + (-8 + 2.4x) = -0.5(x + -8) Reorder the terms: -8 + 0.1x + 2.4x = -0.5(x + -8) Combine like terms: 0.1x + 2.4x = 2.5x -8 + 2.5x = -0.5(x + -8) Reorder the terms: -8 + 2.5x = -0.5(-8 + x) -8 + 2.5x = (-8 * -0.5 + x * -0.5) -8 + 2.5x = (4 + -0.5x) Solving -8 + 2.5x = 4 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. -8 + 2.5x + 0.5x = 4 + -0.5x + 0.5x Combine like terms: 2.5x + 0.5x = 3x -8 + 3x = 4 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 -8 + 3x = 4 + 0.0 -8 + 3x = 4 Add '8' to each side of the equation. -8 + 8 + 3x = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 4 + 8 3x = 4 + 8 Combine like terms: 4 + 8 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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