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Simplifying 0.3x + -0.5(8 + -4x) = -0.1(x + -8) 0.3x + (8 * -0.5 + -4x * -0.5) = -0.1(x + -8) 0.3x + (-4 + 2x) = -0.1(x + -8) Reorder the terms: -4 + 0.3x + 2x = -0.1(x + -8) Combine like terms: 0.3x + 2x = 2.3x -4 + 2.3x = -0.1(x + -8) Reorder the terms: -4 + 2.3x = -0.1(-8 + x) -4 + 2.3x = (-8 * -0.1 + x * -0.1) -4 + 2.3x = (0.8 + -0.1x) Solving -4 + 2.3x = 0.8 + -0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1x' to each side of the equation. -4 + 2.3x + 0.1x = 0.8 + -0.1x + 0.1x Combine like terms: 2.3x + 0.1x = 2.4x -4 + 2.4x = 0.8 + -0.1x + 0.1x Combine like terms: -0.1x + 0.1x = 0.0 -4 + 2.4x = 0.8 + 0.0 -4 + 2.4x = 0.8 Add '4' to each side of the equation. -4 + 4 + 2.4x = 0.8 + 4 Combine like terms: -4 + 4 = 0 0 + 2.4x = 0.8 + 4 2.4x = 0.8 + 4 Combine like terms: 0.8 + 4 = 4.8 2.4x = 4.8 Divide each side by '2.4'. x = 2 Simplifying x = 2
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