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Simplifying 0.2x + -0.4(19 + -5x) = -0.6(x + -6) 0.2x + (19 * -0.4 + -5x * -0.4) = -0.6(x + -6) 0.2x + (-7.6 + 2x) = -0.6(x + -6) Reorder the terms: -7.6 + 0.2x + 2x = -0.6(x + -6) Combine like terms: 0.2x + 2x = 2.2x -7.6 + 2.2x = -0.6(x + -6) Reorder the terms: -7.6 + 2.2x = -0.6(-6 + x) -7.6 + 2.2x = (-6 * -0.6 + x * -0.6) -7.6 + 2.2x = (3.6 + -0.6x) Solving -7.6 + 2.2x = 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. -7.6 + 2.2x + 0.6x = 3.6 + -0.6x + 0.6x Combine like terms: 2.2x + 0.6x = 2.8x -7.6 + 2.8x = 3.6 + -0.6x + 0.6x Combine like terms: -0.6x + 0.6x = 0.0 -7.6 + 2.8x = 3.6 + 0.0 -7.6 + 2.8x = 3.6 Add '7.6' to each side of the equation. -7.6 + 7.6 + 2.8x = 3.6 + 7.6 Combine like terms: -7.6 + 7.6 = 0.0 0.0 + 2.8x = 3.6 + 7.6 2.8x = 3.6 + 7.6 Combine like terms: 3.6 + 7.6 = 11.2 2.8x = 11.2 Divide each side by '2.8'. x = 4 Simplifying x = 4
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