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Simplifying 0.1x + -0.4(9 + -4x) = -0.8(x + -8) 0.1x + (9 * -0.4 + -4x * -0.4) = -0.8(x + -8) 0.1x + (-3.6 + 1.6x) = -0.8(x + -8) Reorder the terms: -3.6 + 0.1x + 1.6x = -0.8(x + -8) Combine like terms: 0.1x + 1.6x = 1.7x -3.6 + 1.7x = -0.8(x + -8) Reorder the terms: -3.6 + 1.7x = -0.8(-8 + x) -3.6 + 1.7x = (-8 * -0.8 + x * -0.8) -3.6 + 1.7x = (6.4 + -0.8x) Solving -3.6 + 1.7x = 6.4 + -0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.8x' to each side of the equation. -3.6 + 1.7x + 0.8x = 6.4 + -0.8x + 0.8x Combine like terms: 1.7x + 0.8x = 2.5x -3.6 + 2.5x = 6.4 + -0.8x + 0.8x Combine like terms: -0.8x + 0.8x = 0.0 -3.6 + 2.5x = 6.4 + 0.0 -3.6 + 2.5x = 6.4 Add '3.6' to each side of the equation. -3.6 + 3.6 + 2.5x = 6.4 + 3.6 Combine like terms: -3.6 + 3.6 = 0.0 0.0 + 2.5x = 6.4 + 3.6 2.5x = 6.4 + 3.6 Combine like terms: 6.4 + 3.6 = 10 2.5x = 10 Divide each side by '2.5'. x = 4 Simplifying x = 4
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