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Simplifying 0.50(x + -2) = 4x + -0.2222x + -4 Reorder the terms: 0.50(-2 + x) = 4x + -0.2222x + -4 (-2 * 0.50 + x * 0.50) = 4x + -0.2222x + -4 (-1 + 0.50x) = 4x + -0.2222x + -4 Reorder the terms: -1 + 0.50x = -4 + 4x + -0.2222x Combine like terms: 4x + -0.2222x = 3.7778x -1 + 0.50x = -4 + 3.7778x Solving -1 + 0.50x = -4 + 3.7778x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.7778x' to each side of the equation. -1 + 0.50x + -3.7778x = -4 + 3.7778x + -3.7778x Combine like terms: 0.50x + -3.7778x = -3.2778x -1 + -3.2778x = -4 + 3.7778x + -3.7778x Combine like terms: 3.7778x + -3.7778x = 0.0000 -1 + -3.2778x = -4 + 0.0000 -1 + -3.2778x = -4 Add '1' to each side of the equation. -1 + 1 + -3.2778x = -4 + 1 Combine like terms: -1 + 1 = 0 0 + -3.2778x = -4 + 1 -3.2778x = -4 + 1 Combine like terms: -4 + 1 = -3 -3.2778x = -3 Divide each side by '-3.2778'. x = 0.9152480322 Simplifying x = 0.9152480322
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