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Simplifying 0.3x + -0.2(6 + -4x) = -0.5(x + -4) 0.3x + (6 * -0.2 + -4x * -0.2) = -0.5(x + -4) 0.3x + (-1.2 + 0.8x) = -0.5(x + -4) Reorder the terms: -1.2 + 0.3x + 0.8x = -0.5(x + -4) Combine like terms: 0.3x + 0.8x = 1.1x -1.2 + 1.1x = -0.5(x + -4) Reorder the terms: -1.2 + 1.1x = -0.5(-4 + x) -1.2 + 1.1x = (-4 * -0.5 + x * -0.5) -1.2 + 1.1x = (2 + -0.5x) Solving -1.2 + 1.1x = 2 + -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. -1.2 + 1.1x + 0.5x = 2 + -0.5x + 0.5x Combine like terms: 1.1x + 0.5x = 1.6x -1.2 + 1.6x = 2 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 -1.2 + 1.6x = 2 + 0.0 -1.2 + 1.6x = 2 Add '1.2' to each side of the equation. -1.2 + 1.2 + 1.6x = 2 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 1.6x = 2 + 1.2 1.6x = 2 + 1.2 Combine like terms: 2 + 1.2 = 3.2 1.6x = 3.2 Divide each side by '1.6'. x = 2 Simplifying x = 2
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