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Simplifying -0.111(x + -27) + 0.333(x + 3) = x + 67 Reorder the terms: -0.111(-27 + x) + 0.333(x + 3) = x + 67 (-27 * -0.111 + x * -0.111) + 0.333(x + 3) = x + 67 (2.997 + -0.111x) + 0.333(x + 3) = x + 67 Reorder the terms: 2.997 + -0.111x + 0.333(3 + x) = x + 67 2.997 + -0.111x + (3 * 0.333 + x * 0.333) = x + 67 2.997 + -0.111x + (0.999 + 0.333x) = x + 67 Reorder the terms: 2.997 + 0.999 + -0.111x + 0.333x = x + 67 Combine like terms: 2.997 + 0.999 = 3.996 3.996 + -0.111x + 0.333x = x + 67 Combine like terms: -0.111x + 0.333x = 0.222x 3.996 + 0.222x = x + 67 Reorder the terms: 3.996 + 0.222x = 67 + x Solving 3.996 + 0.222x = 67 + 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. 3.996 + 0.222x + -1x = 67 + x + -1x Combine like terms: 0.222x + -1x = -0.778x 3.996 + -0.778x = 67 + x + -1x Combine like terms: x + -1x = 0 3.996 + -0.778x = 67 + 0 3.996 + -0.778x = 67 Add '-3.996' to each side of the equation. 3.996 + -3.996 + -0.778x = 67 + -3.996 Combine like terms: 3.996 + -3.996 = 0.000 0.000 + -0.778x = 67 + -3.996 -0.778x = 67 + -3.996 Combine like terms: 67 + -3.996 = 63.004 -0.778x = 63.004 Divide each side by '-0.778'. x = -80.98200514 Simplifying x = -80.98200514
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