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Simplifying 0.4x + -0.1(11 + -5x) = -0.8(x + -5) 0.4x + (11 * -0.1 + -5x * -0.1) = -0.8(x + -5) 0.4x + (-1.1 + 0.5x) = -0.8(x + -5) Reorder the terms: -1.1 + 0.4x + 0.5x = -0.8(x + -5) Combine like terms: 0.4x + 0.5x = 0.9x -1.1 + 0.9x = -0.8(x + -5) Reorder the terms: -1.1 + 0.9x = -0.8(-5 + x) -1.1 + 0.9x = (-5 * -0.8 + x * -0.8) -1.1 + 0.9x = (4 + -0.8x) Solving -1.1 + 0.9x = 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. -1.1 + 0.9x + 0.8x = 4 + -0.8x + 0.8x Combine like terms: 0.9x + 0.8x = 1.7x -1.1 + 1.7x = 4 + -0.8x + 0.8x Combine like terms: -0.8x + 0.8x = 0.0 -1.1 + 1.7x = 4 + 0.0 -1.1 + 1.7x = 4 Add '1.1' to each side of the equation. -1.1 + 1.1 + 1.7x = 4 + 1.1 Combine like terms: -1.1 + 1.1 = 0.0 0.0 + 1.7x = 4 + 1.1 1.7x = 4 + 1.1 Combine like terms: 4 + 1.1 = 5.1 1.7x = 5.1 Divide each side by '1.7'. x = 3 Simplifying x = 3
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