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Simplifying 0.4(x + -1) = x + 5 Reorder the terms: 0.4(-1 + x) = x + 5 (-1 * 0.4 + x * 0.4) = x + 5 (-0.4 + 0.4x) = x + 5 Reorder the terms: -0.4 + 0.4x = 5 + x Solving -0.4 + 0.4x = 5 + 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. -0.4 + 0.4x + -1x = 5 + x + -1x Combine like terms: 0.4x + -1x = -0.6x -0.4 + -0.6x = 5 + x + -1x Combine like terms: x + -1x = 0 -0.4 + -0.6x = 5 + 0 -0.4 + -0.6x = 5 Add '0.4' to each side of the equation. -0.4 + 0.4 + -0.6x = 5 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + -0.6x = 5 + 0.4 -0.6x = 5 + 0.4 Combine like terms: 5 + 0.4 = 5.4 -0.6x = 5.4 Divide each side by '-0.6'. x = -9 Simplifying x = -9
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