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Simplifying 0.4(3x + -2) = 1.6x Reorder the terms: 0.4(-2 + 3x) = 1.6x (-2 * 0.4 + 3x * 0.4) = 1.6x (-0.8 + 1.2x) = 1.6x Solving -0.8 + 1.2x = 1.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.6x' to each side of the equation. -0.8 + 1.2x + -1.6x = 1.6x + -1.6x Combine like terms: 1.2x + -1.6x = -0.4x -0.8 + -0.4x = 1.6x + -1.6x Combine like terms: 1.6x + -1.6x = 0.0 -0.8 + -0.4x = 0.0 Add '0.8' to each side of the equation. -0.8 + 0.8 + -0.4x = 0.0 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + -0.4x = 0.0 + 0.8 -0.4x = 0.0 + 0.8 Combine like terms: 0.0 + 0.8 = 0.8 -0.4x = 0.8 Divide each side by '-0.4'. x = -2 Simplifying x = -2
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