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Simplifying 8(19 + -1x) = 7(3x + 1) (19 * 8 + -1x * 8) = 7(3x + 1) (152 + -8x) = 7(3x + 1) Reorder the terms: 152 + -8x = 7(1 + 3x) 152 + -8x = (1 * 7 + 3x * 7) 152 + -8x = (7 + 21x) Solving 152 + -8x = 7 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 152 + -8x + -21x = 7 + 21x + -21x Combine like terms: -8x + -21x = -29x 152 + -29x = 7 + 21x + -21x Combine like terms: 21x + -21x = 0 152 + -29x = 7 + 0 152 + -29x = 7 Add '-152' to each side of the equation. 152 + -152 + -29x = 7 + -152 Combine like terms: 152 + -152 = 0 0 + -29x = 7 + -152 -29x = 7 + -152 Combine like terms: 7 + -152 = -145 -29x = -145 Divide each side by '-29'. x = 5 Simplifying x = 5
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