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Simplifying 0.1x + [0.25(x + -12)] = 11 Reorder the terms: 0.1x + [0.25(-12 + x)] = 11 0.1x + [(-12 * 0.25 + x * 0.25)] = 11 0.1x + [(-3 + 0.25x)] = 11 0.1x + [-3 + 0.25x] = 11 Remove brackets around [-3 + 0.25x] 0.1x + -3 + 0.25x = 11 Reorder the terms: -3 + 0.1x + 0.25x = 11 Combine like terms: 0.1x + 0.25x = 0.35x -3 + 0.35x = 11 Solving -3 + 0.35x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 0.35x = 11 + 3 Combine like terms: -3 + 3 = 0 0 + 0.35x = 11 + 3 0.35x = 11 + 3 Combine like terms: 11 + 3 = 14 0.35x = 14 Divide each side by '0.35'. x = 40 Simplifying x = 40
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