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Simplifying 8(19 + -1x) = 7(3x + 4) (19 * 8 + -1x * 8) = 7(3x + 4) (152 + -8x) = 7(3x + 4) Reorder the terms: 152 + -8x = 7(4 + 3x) 152 + -8x = (4 * 7 + 3x * 7) 152 + -8x = (28 + 21x) Solving 152 + -8x = 28 + 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 = 28 + 21x + -21x Combine like terms: -8x + -21x = -29x 152 + -29x = 28 + 21x + -21x Combine like terms: 21x + -21x = 0 152 + -29x = 28 + 0 152 + -29x = 28 Add '-152' to each side of the equation. 152 + -152 + -29x = 28 + -152 Combine like terms: 152 + -152 = 0 0 + -29x = 28 + -152 -29x = 28 + -152 Combine like terms: 28 + -152 = -124 -29x = -124 Divide each side by '-29'. x = 4.275862069 Simplifying x = 4.275862069
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