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Simplifying 0.1x + -0.8(20 + -5x) = 0.4(x + -5) 0.1x + (20 * -0.8 + -5x * -0.8) = 0.4(x + -5) 0.1x + (-16 + 4x) = 0.4(x + -5) Reorder the terms: -16 + 0.1x + 4x = 0.4(x + -5) Combine like terms: 0.1x + 4x = 4.1x -16 + 4.1x = 0.4(x + -5) Reorder the terms: -16 + 4.1x = 0.4(-5 + x) -16 + 4.1x = (-5 * 0.4 + x * 0.4) -16 + 4.1x = (-2 + 0.4x) Solving -16 + 4.1x = -2 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. -16 + 4.1x + -0.4x = -2 + 0.4x + -0.4x Combine like terms: 4.1x + -0.4x = 3.7x -16 + 3.7x = -2 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -16 + 3.7x = -2 + 0.0 -16 + 3.7x = -2 Add '16' to each side of the equation. -16 + 16 + 3.7x = -2 + 16 Combine like terms: -16 + 16 = 0 0 + 3.7x = -2 + 16 3.7x = -2 + 16 Combine like terms: -2 + 16 = 14 3.7x = 14 Divide each side by '3.7'. x = 3.783783784 Simplifying x = 3.783783784
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