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Simplifying 0.5(x + -8) = 0.6(x + -4) Reorder the terms: 0.5(-8 + x) = 0.6(x + -4) (-8 * 0.5 + x * 0.5) = 0.6(x + -4) (-4 + 0.5x) = 0.6(x + -4) Reorder the terms: -4 + 0.5x = 0.6(-4 + x) -4 + 0.5x = (-4 * 0.6 + x * 0.6) -4 + 0.5x = (-2.4 + 0.6x) Solving -4 + 0.5x = -2.4 + 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. -4 + 0.5x + -0.6x = -2.4 + 0.6x + -0.6x Combine like terms: 0.5x + -0.6x = -0.1x -4 + -0.1x = -2.4 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 -4 + -0.1x = -2.4 + 0.0 -4 + -0.1x = -2.4 Add '4' to each side of the equation. -4 + 4 + -0.1x = -2.4 + 4 Combine like terms: -4 + 4 = 0 0 + -0.1x = -2.4 + 4 -0.1x = -2.4 + 4 Combine like terms: -2.4 + 4 = 1.6 -0.1x = 1.6 Divide each side by '-0.1'. x = -16 Simplifying x = -16
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