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Simplifying -0.1111111111(x + -27) + 0.333333333333(x + 3) = x + 4 Reorder the terms: -0.1111111111(-27 + x) + 0.333333333333(x + 3) = x + 4 (-27 * -0.1111111111 + x * -0.1111111111) + 0.333333333333(x + 3) = x + 4 (3 + -0.1111111111x) + 0.333333333333(x + 3) = x + 4 Reorder the terms: 3 + -0.1111111111x + 0.333333333333(3 + x) = x + 4 3 + -0.1111111111x + (3 * 0.333333333333 + x * 0.333333333333) = x + 4 3 + -0.1111111111x + (1 + 0.333333333333x) = x + 4 Reorder the terms: 3 + 1 + -0.1111111111x + 0.333333333333x = x + 4 Combine like terms: 3 + 1 = 4 4 + -0.1111111111x + 0.333333333333x = x + 4 Combine like terms: -0.1111111111x + 0.333333333333x = 0.222222222233x 4 + 0.222222222233x = x + 4 Reorder the terms: 4 + 0.222222222233x = 4 + x Add '-4' to each side of the equation. 4 + -4 + 0.222222222233x = 4 + -4 + x Combine like terms: 4 + -4 = 0 0 + 0.222222222233x = 4 + -4 + x 0.222222222233x = 4 + -4 + x Combine like terms: 4 + -4 = 0 0.222222222233x = 0 + x 0.222222222233x = x Solving 0.222222222233x = 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. 0.222222222233x + -1x = x + -1x Combine like terms: 0.222222222233x + -1x = -0.777777777767x -0.777777777767x = x + -1x Combine like terms: x + -1x = 0 -0.777777777767x = 0 Divide each side by '-0.777777777767'. x = 0 Simplifying x = 0
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