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Simplifying -0.8(2x + 2) = 0.2(-4 + -4x) Reorder the terms: -0.8(2 + 2x) = 0.2(-4 + -4x) (2 * -0.8 + 2x * -0.8) = 0.2(-4 + -4x) (-1.6 + -1.6x) = 0.2(-4 + -4x) -1.6 + -1.6x = (-4 * 0.2 + -4x * 0.2) -1.6 + -1.6x = (-0.8 + -0.8x) Solving -1.6 + -1.6x = -0.8 + -0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.8x' to each side of the equation. -1.6 + -1.6x + 0.8x = -0.8 + -0.8x + 0.8x Combine like terms: -1.6x + 0.8x = -0.8x -1.6 + -0.8x = -0.8 + -0.8x + 0.8x Combine like terms: -0.8x + 0.8x = 0.0 -1.6 + -0.8x = -0.8 + 0.0 -1.6 + -0.8x = -0.8 Add '1.6' to each side of the equation. -1.6 + 1.6 + -0.8x = -0.8 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + -0.8x = -0.8 + 1.6 -0.8x = -0.8 + 1.6 Combine like terms: -0.8 + 1.6 = 0.8 -0.8x = 0.8 Divide each side by '-0.8'. x = -1 Simplifying x = -1
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