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Simplifying 0.8x + -0.4(19 + -3x) = -0.2(x + -6) 0.8x + (19 * -0.4 + -3x * -0.4) = -0.2(x + -6) 0.8x + (-7.6 + 1.2x) = -0.2(x + -6) Reorder the terms: -7.6 + 0.8x + 1.2x = -0.2(x + -6) Combine like terms: 0.8x + 1.2x = 2x -7.6 + 2x = -0.2(x + -6) Reorder the terms: -7.6 + 2x = -0.2(-6 + x) -7.6 + 2x = (-6 * -0.2 + x * -0.2) -7.6 + 2x = (1.2 + -0.2x) Solving -7.6 + 2x = 1.2 + -0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2x' to each side of the equation. -7.6 + 2x + 0.2x = 1.2 + -0.2x + 0.2x Combine like terms: 2x + 0.2x = 2.2x -7.6 + 2.2x = 1.2 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 -7.6 + 2.2x = 1.2 + 0.0 -7.6 + 2.2x = 1.2 Add '7.6' to each side of the equation. -7.6 + 7.6 + 2.2x = 1.2 + 7.6 Combine like terms: -7.6 + 7.6 = 0.0 0.0 + 2.2x = 1.2 + 7.6 2.2x = 1.2 + 7.6 Combine like terms: 1.2 + 7.6 = 8.8 2.2x = 8.8 Divide each side by '2.2'. x = 4 Simplifying x = 4
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