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Simplifying 0.5(x + -8) = -0.6(6 + -9x) Reorder the terms: 0.5(-8 + x) = -0.6(6 + -9x) (-8 * 0.5 + x * 0.5) = -0.6(6 + -9x) (-4 + 0.5x) = -0.6(6 + -9x) -4 + 0.5x = (6 * -0.6 + -9x * -0.6) -4 + 0.5x = (-3.6 + 5.4x) Solving -4 + 0.5x = -3.6 + 5.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.4x' to each side of the equation. -4 + 0.5x + -5.4x = -3.6 + 5.4x + -5.4x Combine like terms: 0.5x + -5.4x = -4.9x -4 + -4.9x = -3.6 + 5.4x + -5.4x Combine like terms: 5.4x + -5.4x = 0.0 -4 + -4.9x = -3.6 + 0.0 -4 + -4.9x = -3.6 Add '4' to each side of the equation. -4 + 4 + -4.9x = -3.6 + 4 Combine like terms: -4 + 4 = 0 0 + -4.9x = -3.6 + 4 -4.9x = -3.6 + 4 Combine like terms: -3.6 + 4 = 0.4 -4.9x = 0.4 Divide each side by '-4.9'. x = -0.08163265306 Simplifying x = -0.08163265306
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