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Simplifying 0.1111(x + -28) + 0.3(x + 3) = x + 11 Reorder the terms: 0.1111(-28 + x) + 0.3(x + 3) = x + 11 (-28 * 0.1111 + x * 0.1111) + 0.3(x + 3) = x + 11 (-3.1108 + 0.1111x) + 0.3(x + 3) = x + 11 Reorder the terms: -3.1108 + 0.1111x + 0.3(3 + x) = x + 11 -3.1108 + 0.1111x + (3 * 0.3 + x * 0.3) = x + 11 -3.1108 + 0.1111x + (0.9 + 0.3x) = x + 11 Reorder the terms: -3.1108 + 0.9 + 0.1111x + 0.3x = x + 11 Combine like terms: -3.1108 + 0.9 = -2.2108 -2.2108 + 0.1111x + 0.3x = x + 11 Combine like terms: 0.1111x + 0.3x = 0.4111x -2.2108 + 0.4111x = x + 11 Reorder the terms: -2.2108 + 0.4111x = 11 + x Solving -2.2108 + 0.4111x = 11 + 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. -2.2108 + 0.4111x + -1x = 11 + x + -1x Combine like terms: 0.4111x + -1x = -0.5889x -2.2108 + -0.5889x = 11 + x + -1x Combine like terms: x + -1x = 0 -2.2108 + -0.5889x = 11 + 0 -2.2108 + -0.5889x = 11 Add '2.2108' to each side of the equation. -2.2108 + 2.2108 + -0.5889x = 11 + 2.2108 Combine like terms: -2.2108 + 2.2108 = 0.0000 0.0000 + -0.5889x = 11 + 2.2108 -0.5889x = 11 + 2.2108 Combine like terms: 11 + 2.2108 = 13.2108 -0.5889x = 13.2108 Divide each side by '-0.5889'. x = -22.4330107 Simplifying x = -22.4330107
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