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Simplifying 0.4(x + -2) = x + 4 Reorder the terms: 0.4(-2 + x) = x + 4 (-2 * 0.4 + x * 0.4) = x + 4 (-0.8 + 0.4x) = x + 4 Reorder the terms: -0.8 + 0.4x = 4 + x Solving -0.8 + 0.4x = 4 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -0.8 + 0.4x + -1x = 4 + x + -1x Combine like terms: 0.4x + -1x = -0.6x -0.8 + -0.6x = 4 + x + -1x Combine like terms: x + -1x = 0 -0.8 + -0.6x = 4 + 0 -0.8 + -0.6x = 4 Add '0.8' to each side of the equation. -0.8 + 0.8 + -0.6x = 4 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + -0.6x = 4 + 0.8 -0.6x = 4 + 0.8 Combine like terms: 4 + 0.8 = 4.8 -0.6x = 4.8 Divide each side by '-0.6'. x = -8 Simplifying x = -8
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