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Simplifying 4(3x + 11) = 2.35(16 + 4x) Reorder the terms: 4(11 + 3x) = 2.35(16 + 4x) (11 * 4 + 3x * 4) = 2.35(16 + 4x) (44 + 12x) = 2.35(16 + 4x) 44 + 12x = (16 * 2.35 + 4x * 2.35) 44 + 12x = (37.6 + 9.4x) Solving 44 + 12x = 37.6 + 9.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.4x' to each side of the equation. 44 + 12x + -9.4x = 37.6 + 9.4x + -9.4x Combine like terms: 12x + -9.4x = 2.6x 44 + 2.6x = 37.6 + 9.4x + -9.4x Combine like terms: 9.4x + -9.4x = 0.0 44 + 2.6x = 37.6 + 0.0 44 + 2.6x = 37.6 Add '-44' to each side of the equation. 44 + -44 + 2.6x = 37.6 + -44 Combine like terms: 44 + -44 = 0 0 + 2.6x = 37.6 + -44 2.6x = 37.6 + -44 Combine like terms: 37.6 + -44 = -6.4 2.6x = -6.4 Divide each side by '2.6'. x = -2.461538462 Simplifying x = -2.461538462
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