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Simplifying 5x + 74 = 3(7x + -6) Reorder the terms: 74 + 5x = 3(7x + -6) Reorder the terms: 74 + 5x = 3(-6 + 7x) 74 + 5x = (-6 * 3 + 7x * 3) 74 + 5x = (-18 + 21x) Solving 74 + 5x = -18 + 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. 74 + 5x + -21x = -18 + 21x + -21x Combine like terms: 5x + -21x = -16x 74 + -16x = -18 + 21x + -21x Combine like terms: 21x + -21x = 0 74 + -16x = -18 + 0 74 + -16x = -18 Add '-74' to each side of the equation. 74 + -74 + -16x = -18 + -74 Combine like terms: 74 + -74 = 0 0 + -16x = -18 + -74 -16x = -18 + -74 Combine like terms: -18 + -74 = -92 -16x = -92 Divide each side by '-16'. x = 5.75 Simplifying x = 5.75
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