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Simplifying 4(6x + -1) = 7(3x + 2) Reorder the terms: 4(-1 + 6x) = 7(3x + 2) (-1 * 4 + 6x * 4) = 7(3x + 2) (-4 + 24x) = 7(3x + 2) Reorder the terms: -4 + 24x = 7(2 + 3x) -4 + 24x = (2 * 7 + 3x * 7) -4 + 24x = (14 + 21x) Solving -4 + 24x = 14 + 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. -4 + 24x + -21x = 14 + 21x + -21x Combine like terms: 24x + -21x = 3x -4 + 3x = 14 + 21x + -21x Combine like terms: 21x + -21x = 0 -4 + 3x = 14 + 0 -4 + 3x = 14 Add '4' to each side of the equation. -4 + 4 + 3x = 14 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 14 + 4 3x = 14 + 4 Combine like terms: 14 + 4 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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