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Simplifying 8(11x + 18) = 21(3 + 9x) Reorder the terms: 8(18 + 11x) = 21(3 + 9x) (18 * 8 + 11x * 8) = 21(3 + 9x) (144 + 88x) = 21(3 + 9x) 144 + 88x = (3 * 21 + 9x * 21) 144 + 88x = (63 + 189x) Solving 144 + 88x = 63 + 189x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-189x' to each side of the equation. 144 + 88x + -189x = 63 + 189x + -189x Combine like terms: 88x + -189x = -101x 144 + -101x = 63 + 189x + -189x Combine like terms: 189x + -189x = 0 144 + -101x = 63 + 0 144 + -101x = 63 Add '-144' to each side of the equation. 144 + -144 + -101x = 63 + -144 Combine like terms: 144 + -144 = 0 0 + -101x = 63 + -144 -101x = 63 + -144 Combine like terms: 63 + -144 = -81 -101x = -81 Divide each side by '-101'. x = 0.801980198 Simplifying x = 0.801980198
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