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Simplifying 2(8 + -4x) = 0.33333333333(33 + -18x) + 3 (8 * 2 + -4x * 2) = 0.33333333333(33 + -18x) + 3 (16 + -8x) = 0.33333333333(33 + -18x) + 3 16 + -8x = (33 * 0.33333333333 + -18x * 0.33333333333) + 3 16 + -8x = (11 + -6x) + 3 Reorder the terms: 16 + -8x = 11 + 3 + -6x Combine like terms: 11 + 3 = 14 16 + -8x = 14 + -6x Solving 16 + -8x = 14 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 16 + -8x + 6x = 14 + -6x + 6x Combine like terms: -8x + 6x = -2x 16 + -2x = 14 + -6x + 6x Combine like terms: -6x + 6x = 0 16 + -2x = 14 + 0 16 + -2x = 14 Add '-16' to each side of the equation. 16 + -16 + -2x = 14 + -16 Combine like terms: 16 + -16 = 0 0 + -2x = 14 + -16 -2x = 14 + -16 Combine like terms: 14 + -16 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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