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Simplifying 0.9x + -0.2(13 + -4x) = 0.5(x + -8) 0.9x + (13 * -0.2 + -4x * -0.2) = 0.5(x + -8) 0.9x + (-2.6 + 0.8x) = 0.5(x + -8) Reorder the terms: -2.6 + 0.9x + 0.8x = 0.5(x + -8) Combine like terms: 0.9x + 0.8x = 1.7x -2.6 + 1.7x = 0.5(x + -8) Reorder the terms: -2.6 + 1.7x = 0.5(-8 + x) -2.6 + 1.7x = (-8 * 0.5 + x * 0.5) -2.6 + 1.7x = (-4 + 0.5x) Solving -2.6 + 1.7x = -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. -2.6 + 1.7x + -0.5x = -4 + 0.5x + -0.5x Combine like terms: 1.7x + -0.5x = 1.2x -2.6 + 1.2x = -4 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -2.6 + 1.2x = -4 + 0.0 -2.6 + 1.2x = -4 Add '2.6' to each side of the equation. -2.6 + 2.6 + 1.2x = -4 + 2.6 Combine like terms: -2.6 + 2.6 = 0.0 0.0 + 1.2x = -4 + 2.6 1.2x = -4 + 2.6 Combine like terms: -4 + 2.6 = -1.4 1.2x = -1.4 Divide each side by '1.2'. x = -1.166666667 Simplifying x = -1.166666667
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