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Simplifying 0.4(x + -4) = 2x Reorder the terms: 0.4(-4 + x) = 2x (-4 * 0.4 + x * 0.4) = 2x (-1.6 + 0.4x) = 2x Solving -1.6 + 0.4x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -1.6 + 0.4x + -2x = 2x + -2x Combine like terms: 0.4x + -2x = -1.6x -1.6 + -1.6x = 2x + -2x Combine like terms: 2x + -2x = 0 -1.6 + -1.6x = 0 Add '1.6' to each side of the equation. -1.6 + 1.6 + -1.6x = 0 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + -1.6x = 0 + 1.6 -1.6x = 0 + 1.6 Combine like terms: 0 + 1.6 = 1.6 -1.6x = 1.6 Divide each side by '-1.6'. x = -1 Simplifying x = -1
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