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Simplifying 0.2x + -0.1(16 + -3x) = -0.4(x + -5) 0.2x + (16 * -0.1 + -3x * -0.1) = -0.4(x + -5) 0.2x + (-1.6 + 0.3x) = -0.4(x + -5) Reorder the terms: -1.6 + 0.2x + 0.3x = -0.4(x + -5) Combine like terms: 0.2x + 0.3x = 0.5x -1.6 + 0.5x = -0.4(x + -5) Reorder the terms: -1.6 + 0.5x = -0.4(-5 + x) -1.6 + 0.5x = (-5 * -0.4 + x * -0.4) -1.6 + 0.5x = (2 + -0.4x) Solving -1.6 + 0.5x = 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. -1.6 + 0.5x + 0.4x = 2 + -0.4x + 0.4x Combine like terms: 0.5x + 0.4x = 0.9x -1.6 + 0.9x = 2 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 -1.6 + 0.9x = 2 + 0.0 -1.6 + 0.9x = 2 Add '1.6' to each side of the equation. -1.6 + 1.6 + 0.9x = 2 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + 0.9x = 2 + 1.6 0.9x = 2 + 1.6 Combine like terms: 2 + 1.6 = 3.6 0.9x = 3.6 Divide each side by '0.9'. x = 4 Simplifying x = 4
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