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Simplifying 0.3(2x + -4) = -0.5(x + -8) Reorder the terms: 0.3(-4 + 2x) = -0.5(x + -8) (-4 * 0.3 + 2x * 0.3) = -0.5(x + -8) (-1.2 + 0.6x) = -0.5(x + -8) Reorder the terms: -1.2 + 0.6x = -0.5(-8 + x) -1.2 + 0.6x = (-8 * -0.5 + x * -0.5) -1.2 + 0.6x = (4 + -0.5x) Solving -1.2 + 0.6x = 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. -1.2 + 0.6x + 0.5x = 4 + -0.5x + 0.5x Combine like terms: 0.6x + 0.5x = 1.1x -1.2 + 1.1x = 4 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 -1.2 + 1.1x = 4 + 0.0 -1.2 + 1.1x = 4 Add '1.2' to each side of the equation. -1.2 + 1.2 + 1.1x = 4 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 1.1x = 4 + 1.2 1.1x = 4 + 1.2 Combine like terms: 4 + 1.2 = 5.2 1.1x = 5.2 Divide each side by '1.1'. x = 4.727272727 Simplifying x = 4.727272727
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