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Simplifying 0.25(x + -4) + 0.2(x + 5) = x + -9 Reorder the terms: 0.25(-4 + x) + 0.2(x + 5) = x + -9 (-4 * 0.25 + x * 0.25) + 0.2(x + 5) = x + -9 (-1 + 0.25x) + 0.2(x + 5) = x + -9 Reorder the terms: -1 + 0.25x + 0.2(5 + x) = x + -9 -1 + 0.25x + (5 * 0.2 + x * 0.2) = x + -9 -1 + 0.25x + (1 + 0.2x) = x + -9 Reorder the terms: -1 + 1 + 0.25x + 0.2x = x + -9 Combine like terms: -1 + 1 = 0 0 + 0.25x + 0.2x = x + -9 0.25x + 0.2x = x + -9 Combine like terms: 0.25x + 0.2x = 0.45x 0.45x = x + -9 Reorder the terms: 0.45x = -9 + x Solving 0.45x = -9 + 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. 0.45x + -1x = -9 + x + -1x Combine like terms: 0.45x + -1x = -0.55x -0.55x = -9 + x + -1x Combine like terms: x + -1x = 0 -0.55x = -9 + 0 -0.55x = -9 Divide each side by '-0.55'. x = 16.36363636 Simplifying x = 16.36363636
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