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Simplifying 0.4x + -0.25(x + -8) = 6.5 Reorder the terms: 0.4x + -0.25(-8 + x) = 6.5 0.4x + (-8 * -0.25 + x * -0.25) = 6.5 0.4x + (2 + -0.25x) = 6.5 Reorder the terms: 2 + 0.4x + -0.25x = 6.5 Combine like terms: 0.4x + -0.25x = 0.15x 2 + 0.15x = 6.5 Solving 2 + 0.15x = 6.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 0.15x = 6.5 + -2 Combine like terms: 2 + -2 = 0 0 + 0.15x = 6.5 + -2 0.15x = 6.5 + -2 Combine like terms: 6.5 + -2 = 4.5 0.15x = 4.5 Divide each side by '0.15'. x = 30 Simplifying x = 30
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