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Simplifying 4(3x + 11) = 19(16 + 4x) Reorder the terms: 4(11 + 3x) = 19(16 + 4x) (11 * 4 + 3x * 4) = 19(16 + 4x) (44 + 12x) = 19(16 + 4x) 44 + 12x = (16 * 19 + 4x * 19) 44 + 12x = (304 + 76x) Solving 44 + 12x = 304 + 76x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-76x' to each side of the equation. 44 + 12x + -76x = 304 + 76x + -76x Combine like terms: 12x + -76x = -64x 44 + -64x = 304 + 76x + -76x Combine like terms: 76x + -76x = 0 44 + -64x = 304 + 0 44 + -64x = 304 Add '-44' to each side of the equation. 44 + -44 + -64x = 304 + -44 Combine like terms: 44 + -44 = 0 0 + -64x = 304 + -44 -64x = 304 + -44 Combine like terms: 304 + -44 = 260 -64x = 260 Divide each side by '-64'. x = -4.0625 Simplifying x = -4.0625
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