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Simplifying 0.9x + -0.8(20 + -4x) = -0.1(x + -8) 0.9x + (20 * -0.8 + -4x * -0.8) = -0.1(x + -8) 0.9x + (-16 + 3.2x) = -0.1(x + -8) Reorder the terms: -16 + 0.9x + 3.2x = -0.1(x + -8) Combine like terms: 0.9x + 3.2x = 4.1x -16 + 4.1x = -0.1(x + -8) Reorder the terms: -16 + 4.1x = -0.1(-8 + x) -16 + 4.1x = (-8 * -0.1 + x * -0.1) -16 + 4.1x = (0.8 + -0.1x) Solving -16 + 4.1x = 0.8 + -0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1x' to each side of the equation. -16 + 4.1x + 0.1x = 0.8 + -0.1x + 0.1x Combine like terms: 4.1x + 0.1x = 4.2x -16 + 4.2x = 0.8 + -0.1x + 0.1x Combine like terms: -0.1x + 0.1x = 0.0 -16 + 4.2x = 0.8 + 0.0 -16 + 4.2x = 0.8 Add '16' to each side of the equation. -16 + 16 + 4.2x = 0.8 + 16 Combine like terms: -16 + 16 = 0 0 + 4.2x = 0.8 + 16 4.2x = 0.8 + 16 Combine like terms: 0.8 + 16 = 16.8 4.2x = 16.8 Divide each side by '4.2'. x = 4 Simplifying x = 4
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