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Simplifying 0.1666(x + -18) + 0.3333(x + 3) = x + 34 Reorder the terms: 0.1666(-18 + x) + 0.3333(x + 3) = x + 34 (-18 * 0.1666 + x * 0.1666) + 0.3333(x + 3) = x + 34 (-2.9988 + 0.1666x) + 0.3333(x + 3) = x + 34 Reorder the terms: -2.9988 + 0.1666x + 0.3333(3 + x) = x + 34 -2.9988 + 0.1666x + (3 * 0.3333 + x * 0.3333) = x + 34 -2.9988 + 0.1666x + (0.9999 + 0.3333x) = x + 34 Reorder the terms: -2.9988 + 0.9999 + 0.1666x + 0.3333x = x + 34 Combine like terms: -2.9988 + 0.9999 = -1.9989 -1.9989 + 0.1666x + 0.3333x = x + 34 Combine like terms: 0.1666x + 0.3333x = 0.4999x -1.9989 + 0.4999x = x + 34 Reorder the terms: -1.9989 + 0.4999x = 34 + x Solving -1.9989 + 0.4999x = 34 + 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. -1.9989 + 0.4999x + -1x = 34 + x + -1x Combine like terms: 0.4999x + -1x = -0.5001x -1.9989 + -0.5001x = 34 + x + -1x Combine like terms: x + -1x = 0 -1.9989 + -0.5001x = 34 + 0 -1.9989 + -0.5001x = 34 Add '1.9989' to each side of the equation. -1.9989 + 1.9989 + -0.5001x = 34 + 1.9989 Combine like terms: -1.9989 + 1.9989 = 0.0000 0.0000 + -0.5001x = 34 + 1.9989 -0.5001x = 34 + 1.9989 Combine like terms: 34 + 1.9989 = 35.9989 -0.5001x = 35.9989 Divide each side by '-0.5001'. x = -71.98340332 Simplifying x = -71.98340332
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