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Simplifying 5(x) = 0.4(x + -1) + 0.65 Reorder the terms: 5x = 0.4(-1 + x) + 0.65 5x = (-1 * 0.4 + x * 0.4) + 0.65 5x = (-0.4 + 0.4x) + 0.65 Reorder the terms: 5x = -0.4 + 0.65 + 0.4x Combine like terms: -0.4 + 0.65 = 0.25 5x = 0.25 + 0.4x Solving 5x = 0.25 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 5x + -0.4x = 0.25 + 0.4x + -0.4x Combine like terms: 5x + -0.4x = 4.6x 4.6x = 0.25 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 4.6x = 0.25 + 0.0 4.6x = 0.25 Divide each side by '4.6'. x = 0.05434782609 Simplifying x = 0.05434782609
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