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Simplifying 0.1666(x + -18) + 0.5(x + 2) = x + 12 Reorder the terms: 0.1666(-18 + x) + 0.5(x + 2) = x + 12 (-18 * 0.1666 + x * 0.1666) + 0.5(x + 2) = x + 12 (-2.9988 + 0.1666x) + 0.5(x + 2) = x + 12 Reorder the terms: -2.9988 + 0.1666x + 0.5(2 + x) = x + 12 -2.9988 + 0.1666x + (2 * 0.5 + x * 0.5) = x + 12 -2.9988 + 0.1666x + (1 + 0.5x) = x + 12 Reorder the terms: -2.9988 + 1 + 0.1666x + 0.5x = x + 12 Combine like terms: -2.9988 + 1 = -1.9988 -1.9988 + 0.1666x + 0.5x = x + 12 Combine like terms: 0.1666x + 0.5x = 0.6666x -1.9988 + 0.6666x = x + 12 Reorder the terms: -1.9988 + 0.6666x = 12 + x Solving -1.9988 + 0.6666x = 12 + 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. -1.9988 + 0.6666x + -1x = 12 + x + -1x Combine like terms: 0.6666x + -1x = -0.3334x -1.9988 + -0.3334x = 12 + x + -1x Combine like terms: x + -1x = 0 -1.9988 + -0.3334x = 12 + 0 -1.9988 + -0.3334x = 12 Add '1.9988' to each side of the equation. -1.9988 + 1.9988 + -0.3334x = 12 + 1.9988 Combine like terms: -1.9988 + 1.9988 = 0.0000 0.0000 + -0.3334x = 12 + 1.9988 -0.3334x = 12 + 1.9988 Combine like terms: 12 + 1.9988 = 13.9988 -0.3334x = 13.9988 Divide each side by '-0.3334'. x = -41.9880024 Simplifying x = -41.9880024
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