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Simplifying -0.1111(x + -27) + 0.3333(x + 3) = x + 4 Reorder the terms: -0.1111(-27 + x) + 0.3333(x + 3) = x + 4 (-27 * -0.1111 + x * -0.1111) + 0.3333(x + 3) = x + 4 (2.9997 + -0.1111x) + 0.3333(x + 3) = x + 4 Reorder the terms: 2.9997 + -0.1111x + 0.3333(3 + x) = x + 4 2.9997 + -0.1111x + (3 * 0.3333 + x * 0.3333) = x + 4 2.9997 + -0.1111x + (0.9999 + 0.3333x) = x + 4 Reorder the terms: 2.9997 + 0.9999 + -0.1111x + 0.3333x = x + 4 Combine like terms: 2.9997 + 0.9999 = 3.9996 3.9996 + -0.1111x + 0.3333x = x + 4 Combine like terms: -0.1111x + 0.3333x = 0.2222x 3.9996 + 0.2222x = x + 4 Reorder the terms: 3.9996 + 0.2222x = 4 + x Solving 3.9996 + 0.2222x = 4 + 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. 3.9996 + 0.2222x + -1x = 4 + x + -1x Combine like terms: 0.2222x + -1x = -0.7778x 3.9996 + -0.7778x = 4 + x + -1x Combine like terms: x + -1x = 0 3.9996 + -0.7778x = 4 + 0 3.9996 + -0.7778x = 4 Add '-3.9996' to each side of the equation. 3.9996 + -3.9996 + -0.7778x = 4 + -3.9996 Combine like terms: 3.9996 + -3.9996 = 0.0000 0.0000 + -0.7778x = 4 + -3.9996 -0.7778x = 4 + -3.9996 Combine like terms: 4 + -3.9996 = 0.0004 -0.7778x = 0.0004 Divide each side by '-0.7778'. x = -0.0005142710208 Simplifying x = -0.0005142710208
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