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Simplifying 0.25(x + -2) = 0.4 + 0.15x Reorder the terms: 0.25(-2 + x) = 0.4 + 0.15x (-2 * 0.25 + x * 0.25) = 0.4 + 0.15x (-0.5 + 0.25x) = 0.4 + 0.15x Solving -0.5 + 0.25x = 0.4 + 0.15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.15x' to each side of the equation. -0.5 + 0.25x + -0.15x = 0.4 + 0.15x + -0.15x Combine like terms: 0.25x + -0.15x = 0.1x -0.5 + 0.1x = 0.4 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 -0.5 + 0.1x = 0.4 + 0.00 -0.5 + 0.1x = 0.4 Add '0.5' to each side of the equation. -0.5 + 0.5 + 0.1x = 0.4 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 0.1x = 0.4 + 0.5 0.1x = 0.4 + 0.5 Combine like terms: 0.4 + 0.5 = 0.9 0.1x = 0.9 Divide each side by '0.1'. x = 9 Simplifying x = 9
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