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Simplifying 8(3x + -2) = 3(7x + 5) Reorder the terms: 8(-2 + 3x) = 3(7x + 5) (-2 * 8 + 3x * 8) = 3(7x + 5) (-16 + 24x) = 3(7x + 5) Reorder the terms: -16 + 24x = 3(5 + 7x) -16 + 24x = (5 * 3 + 7x * 3) -16 + 24x = (15 + 21x) Solving -16 + 24x = 15 + 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. -16 + 24x + -21x = 15 + 21x + -21x Combine like terms: 24x + -21x = 3x -16 + 3x = 15 + 21x + -21x Combine like terms: 21x + -21x = 0 -16 + 3x = 15 + 0 -16 + 3x = 15 Add '16' to each side of the equation. -16 + 16 + 3x = 15 + 16 Combine like terms: -16 + 16 = 0 0 + 3x = 15 + 16 3x = 15 + 16 Combine like terms: 15 + 16 = 31 3x = 31 Divide each side by '3'. x = 10.33333333 Simplifying x = 10.33333333
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