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Simplifying 2(0.4x + -0.6) = 2x + -8.8 + -5x Reorder the terms: 2(-0.6 + 0.4x) = 2x + -8.8 + -5x (-0.6 * 2 + 0.4x * 2) = 2x + -8.8 + -5x (-1.2 + 0.8x) = 2x + -8.8 + -5x Reorder the terms: -1.2 + 0.8x = -8.8 + 2x + -5x Combine like terms: 2x + -5x = -3x -1.2 + 0.8x = -8.8 + -3x Solving -1.2 + 0.8x = -8.8 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -1.2 + 0.8x + 3x = -8.8 + -3x + 3x Combine like terms: 0.8x + 3x = 3.8x -1.2 + 3.8x = -8.8 + -3x + 3x Combine like terms: -3x + 3x = 0 -1.2 + 3.8x = -8.8 + 0 -1.2 + 3.8x = -8.8 Add '1.2' to each side of the equation. -1.2 + 1.2 + 3.8x = -8.8 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 3.8x = -8.8 + 1.2 3.8x = -8.8 + 1.2 Combine like terms: -8.8 + 1.2 = -7.6 3.8x = -7.6 Divide each side by '3.8'. x = -2 Simplifying x = -2
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