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Simplifying 0.8x + -0.2(19 + -3x) = -0.4(x + -4) 0.8x + (19 * -0.2 + -3x * -0.2) = -0.4(x + -4) 0.8x + (-3.8 + 0.6x) = -0.4(x + -4) Reorder the terms: -3.8 + 0.8x + 0.6x = -0.4(x + -4) Combine like terms: 0.8x + 0.6x = 1.4x -3.8 + 1.4x = -0.4(x + -4) Reorder the terms: -3.8 + 1.4x = -0.4(-4 + x) -3.8 + 1.4x = (-4 * -0.4 + x * -0.4) -3.8 + 1.4x = (1.6 + -0.4x) Solving -3.8 + 1.4x = 1.6 + -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. -3.8 + 1.4x + 0.4x = 1.6 + -0.4x + 0.4x Combine like terms: 1.4x + 0.4x = 1.8x -3.8 + 1.8x = 1.6 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 -3.8 + 1.8x = 1.6 + 0.0 -3.8 + 1.8x = 1.6 Add '3.8' to each side of the equation. -3.8 + 3.8 + 1.8x = 1.6 + 3.8 Combine like terms: -3.8 + 3.8 = 0.0 0.0 + 1.8x = 1.6 + 3.8 1.8x = 1.6 + 3.8 Combine like terms: 1.6 + 3.8 = 5.4 1.8x = 5.4 Divide each side by '1.8'. x = 3 Simplifying x = 3
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