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Simplifying 0.2x + -0.1(16 + -5x) = -0.6(x + -6) 0.2x + (16 * -0.1 + -5x * -0.1) = -0.6(x + -6) 0.2x + (-1.6 + 0.5x) = -0.6(x + -6) Reorder the terms: -1.6 + 0.2x + 0.5x = -0.6(x + -6) Combine like terms: 0.2x + 0.5x = 0.7x -1.6 + 0.7x = -0.6(x + -6) Reorder the terms: -1.6 + 0.7x = -0.6(-6 + x) -1.6 + 0.7x = (-6 * -0.6 + x * -0.6) -1.6 + 0.7x = (3.6 + -0.6x) Solving -1.6 + 0.7x = 3.6 + -0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6x' to each side of the equation. -1.6 + 0.7x + 0.6x = 3.6 + -0.6x + 0.6x Combine like terms: 0.7x + 0.6x = 1.3x -1.6 + 1.3x = 3.6 + -0.6x + 0.6x Combine like terms: -0.6x + 0.6x = 0.0 -1.6 + 1.3x = 3.6 + 0.0 -1.6 + 1.3x = 3.6 Add '1.6' to each side of the equation. -1.6 + 1.6 + 1.3x = 3.6 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + 1.3x = 3.6 + 1.6 1.3x = 3.6 + 1.6 Combine like terms: 3.6 + 1.6 = 5.2 1.3x = 5.2 Divide each side by '1.3'. x = 4 Simplifying x = 4
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