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Simplifying 0.2x + -0.8(12 + -5x) = -0.6(x + -8) 0.2x + (12 * -0.8 + -5x * -0.8) = -0.6(x + -8) 0.2x + (-9.6 + 4x) = -0.6(x + -8) Reorder the terms: -9.6 + 0.2x + 4x = -0.6(x + -8) Combine like terms: 0.2x + 4x = 4.2x -9.6 + 4.2x = -0.6(x + -8) Reorder the terms: -9.6 + 4.2x = -0.6(-8 + x) -9.6 + 4.2x = (-8 * -0.6 + x * -0.6) -9.6 + 4.2x = (4.8 + -0.6x) Solving -9.6 + 4.2x = 4.8 + -0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6x' to each side of the equation. -9.6 + 4.2x + 0.6x = 4.8 + -0.6x + 0.6x Combine like terms: 4.2x + 0.6x = 4.8x -9.6 + 4.8x = 4.8 + -0.6x + 0.6x Combine like terms: -0.6x + 0.6x = 0.0 -9.6 + 4.8x = 4.8 + 0.0 -9.6 + 4.8x = 4.8 Add '9.6' to each side of the equation. -9.6 + 9.6 + 4.8x = 4.8 + 9.6 Combine like terms: -9.6 + 9.6 = 0.0 0.0 + 4.8x = 4.8 + 9.6 4.8x = 4.8 + 9.6 Combine like terms: 4.8 + 9.6 = 14.4 4.8x = 14.4 Divide each side by '4.8'. x = 3 Simplifying x = 3
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