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Simplifying 2(8 + -4x) = 0.33333(33 + -18x) + 3 (8 * 2 + -4x * 2) = 0.33333(33 + -18x) + 3 (16 + -8x) = 0.33333(33 + -18x) + 3 16 + -8x = (33 * 0.33333 + -18x * 0.33333) + 3 16 + -8x = (10.99989 + -5.99994x) + 3 Reorder the terms: 16 + -8x = 10.99989 + 3 + -5.99994x Combine like terms: 10.99989 + 3 = 13.99989 16 + -8x = 13.99989 + -5.99994x Solving 16 + -8x = 13.99989 + -5.99994x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.99994x' to each side of the equation. 16 + -8x + 5.99994x = 13.99989 + -5.99994x + 5.99994x Combine like terms: -8x + 5.99994x = -2.00006x 16 + -2.00006x = 13.99989 + -5.99994x + 5.99994x Combine like terms: -5.99994x + 5.99994x = 0.00000 16 + -2.00006x = 13.99989 + 0.00000 16 + -2.00006x = 13.99989 Add '-16' to each side of the equation. 16 + -16 + -2.00006x = 13.99989 + -16 Combine like terms: 16 + -16 = 0 0 + -2.00006x = 13.99989 + -16 -2.00006x = 13.99989 + -16 Combine like terms: 13.99989 + -16 = -2.00011 -2.00006x = -2.00011 Divide each side by '-2.00006'. x = 1.000024999 Simplifying x = 1.000024999
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