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Simplifying 0.8x + -0.4(14 + -3x) = -0.6(x + -8) 0.8x + (14 * -0.4 + -3x * -0.4) = -0.6(x + -8) 0.8x + (-5.6 + 1.2x) = -0.6(x + -8) Reorder the terms: -5.6 + 0.8x + 1.2x = -0.6(x + -8) Combine like terms: 0.8x + 1.2x = 2x -5.6 + 2x = -0.6(x + -8) Reorder the terms: -5.6 + 2x = -0.6(-8 + x) -5.6 + 2x = (-8 * -0.6 + x * -0.6) -5.6 + 2x = (4.8 + -0.6x) Solving -5.6 + 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. -5.6 + 2x + 0.6x = 4.8 + -0.6x + 0.6x Combine like terms: 2x + 0.6x = 2.6x -5.6 + 2.6x = 4.8 + -0.6x + 0.6x Combine like terms: -0.6x + 0.6x = 0.0 -5.6 + 2.6x = 4.8 + 0.0 -5.6 + 2.6x = 4.8 Add '5.6' to each side of the equation. -5.6 + 5.6 + 2.6x = 4.8 + 5.6 Combine like terms: -5.6 + 5.6 = 0.0 0.0 + 2.6x = 4.8 + 5.6 2.6x = 4.8 + 5.6 Combine like terms: 4.8 + 5.6 = 10.4 2.6x = 10.4 Divide each side by '2.6'. x = 4 Simplifying x = 4
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