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Simplifying 3(4x + 11) = 2(9x + -4) Reorder the terms: 3(11 + 4x) = 2(9x + -4) (11 * 3 + 4x * 3) = 2(9x + -4) (33 + 12x) = 2(9x + -4) Reorder the terms: 33 + 12x = 2(-4 + 9x) 33 + 12x = (-4 * 2 + 9x * 2) 33 + 12x = (-8 + 18x) Solving 33 + 12x = -8 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 33 + 12x + -18x = -8 + 18x + -18x Combine like terms: 12x + -18x = -6x 33 + -6x = -8 + 18x + -18x Combine like terms: 18x + -18x = 0 33 + -6x = -8 + 0 33 + -6x = -8 Add '-33' to each side of the equation. 33 + -33 + -6x = -8 + -33 Combine like terms: 33 + -33 = 0 0 + -6x = -8 + -33 -6x = -8 + -33 Combine like terms: -8 + -33 = -41 -6x = -41 Divide each side by '-6'. x = 6.833333333 Simplifying x = 6.833333333
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