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Simplifying -0.1666(x + -18) + 0.3333(x + 3) = x + -26 Reorder the terms: -0.1666(-18 + x) + 0.3333(x + 3) = x + -26 (-18 * -0.1666 + x * -0.1666) + 0.3333(x + 3) = x + -26 (2.9988 + -0.1666x) + 0.3333(x + 3) = x + -26 Reorder the terms: 2.9988 + -0.1666x + 0.3333(3 + x) = x + -26 2.9988 + -0.1666x + (3 * 0.3333 + x * 0.3333) = x + -26 2.9988 + -0.1666x + (0.9999 + 0.3333x) = x + -26 Reorder the terms: 2.9988 + 0.9999 + -0.1666x + 0.3333x = x + -26 Combine like terms: 2.9988 + 0.9999 = 3.9987 3.9987 + -0.1666x + 0.3333x = x + -26 Combine like terms: -0.1666x + 0.3333x = 0.1667x 3.9987 + 0.1667x = x + -26 Reorder the terms: 3.9987 + 0.1667x = -26 + x Solving 3.9987 + 0.1667x = -26 + 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. 3.9987 + 0.1667x + -1x = -26 + x + -1x Combine like terms: 0.1667x + -1x = -0.8333x 3.9987 + -0.8333x = -26 + x + -1x Combine like terms: x + -1x = 0 3.9987 + -0.8333x = -26 + 0 3.9987 + -0.8333x = -26 Add '-3.9987' to each side of the equation. 3.9987 + -3.9987 + -0.8333x = -26 + -3.9987 Combine like terms: 3.9987 + -3.9987 = 0.0000 0.0000 + -0.8333x = -26 + -3.9987 -0.8333x = -26 + -3.9987 Combine like terms: -26 + -3.9987 = -29.9987 -0.8333x = -29.9987 Divide each side by '-0.8333'. x = 35.99988 Simplifying x = 35.99988
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