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Simplifying 0.66666(x + -3) + 6 = 0.1666(4x + 24) Reorder the terms: 0.66666(-3 + x) + 6 = 0.1666(4x + 24) (-3 * 0.66666 + x * 0.66666) + 6 = 0.1666(4x + 24) (-1.99998 + 0.66666x) + 6 = 0.1666(4x + 24) Reorder the terms: -1.99998 + 6 + 0.66666x = 0.1666(4x + 24) Combine like terms: -1.99998 + 6 = 4.00002 4.00002 + 0.66666x = 0.1666(4x + 24) Reorder the terms: 4.00002 + 0.66666x = 0.1666(24 + 4x) 4.00002 + 0.66666x = (24 * 0.1666 + 4x * 0.1666) 4.00002 + 0.66666x = (3.9984 + 0.6664x) Solving 4.00002 + 0.66666x = 3.9984 + 0.6664x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6664x' to each side of the equation. 4.00002 + 0.66666x + -0.6664x = 3.9984 + 0.6664x + -0.6664x Combine like terms: 0.66666x + -0.6664x = 0.00026x 4.00002 + 0.00026x = 3.9984 + 0.6664x + -0.6664x Combine like terms: 0.6664x + -0.6664x = 0.0000 4.00002 + 0.00026x = 3.9984 + 0.0000 4.00002 + 0.00026x = 3.9984 Add '-4.00002' to each side of the equation. 4.00002 + -4.00002 + 0.00026x = 3.9984 + -4.00002 Combine like terms: 4.00002 + -4.00002 = 0.00000 0.00000 + 0.00026x = 3.9984 + -4.00002 0.00026x = 3.9984 + -4.00002 Combine like terms: 3.9984 + -4.00002 = -0.00162 0.00026x = -0.00162 Divide each side by '0.00026'. x = -6.230769231 Simplifying x = -6.230769231
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