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Simplifying 19(62x + 4) = -19(4x + -236) Reorder the terms: 19(4 + 62x) = -19(4x + -236) (4 * 19 + 62x * 19) = -19(4x + -236) (76 + 1178x) = -19(4x + -236) Reorder the terms: 76 + 1178x = -19(-236 + 4x) 76 + 1178x = (-236 * -19 + 4x * -19) 76 + 1178x = (4484 + -76x) Solving 76 + 1178x = 4484 + -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. 76 + 1178x + 76x = 4484 + -76x + 76x Combine like terms: 1178x + 76x = 1254x 76 + 1254x = 4484 + -76x + 76x Combine like terms: -76x + 76x = 0 76 + 1254x = 4484 + 0 76 + 1254x = 4484 Add '-76' to each side of the equation. 76 + -76 + 1254x = 4484 + -76 Combine like terms: 76 + -76 = 0 0 + 1254x = 4484 + -76 1254x = 4484 + -76 Combine like terms: 4484 + -76 = 4408 1254x = 4408 Divide each side by '1254'. x = 3.515151515 Simplifying x = 3.515151515
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