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Simplifying 0.8x + -0.4(9 + -3x) = -0.2(x + -4) 0.8x + (9 * -0.4 + -3x * -0.4) = -0.2(x + -4) 0.8x + (-3.6 + 1.2x) = -0.2(x + -4) Reorder the terms: -3.6 + 0.8x + 1.2x = -0.2(x + -4) Combine like terms: 0.8x + 1.2x = 2x -3.6 + 2x = -0.2(x + -4) Reorder the terms: -3.6 + 2x = -0.2(-4 + x) -3.6 + 2x = (-4 * -0.2 + x * -0.2) -3.6 + 2x = (0.8 + -0.2x) Solving -3.6 + 2x = 0.8 + -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. -3.6 + 2x + 0.2x = 0.8 + -0.2x + 0.2x Combine like terms: 2x + 0.2x = 2.2x -3.6 + 2.2x = 0.8 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 -3.6 + 2.2x = 0.8 + 0.0 -3.6 + 2.2x = 0.8 Add '3.6' to each side of the equation. -3.6 + 3.6 + 2.2x = 0.8 + 3.6 Combine like terms: -3.6 + 3.6 = 0.0 0.0 + 2.2x = 0.8 + 3.6 2.2x = 0.8 + 3.6 Combine like terms: 0.8 + 3.6 = 4.4 2.2x = 4.4 Divide each side by '2.2'. x = 2 Simplifying x = 2
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