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Simplifying 6(4x + -1) = 7(15 + 3x) Reorder the terms: 6(-1 + 4x) = 7(15 + 3x) (-1 * 6 + 4x * 6) = 7(15 + 3x) (-6 + 24x) = 7(15 + 3x) -6 + 24x = (15 * 7 + 3x * 7) -6 + 24x = (105 + 21x) Solving -6 + 24x = 105 + 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. -6 + 24x + -21x = 105 + 21x + -21x Combine like terms: 24x + -21x = 3x -6 + 3x = 105 + 21x + -21x Combine like terms: 21x + -21x = 0 -6 + 3x = 105 + 0 -6 + 3x = 105 Add '6' to each side of the equation. -6 + 6 + 3x = 105 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 105 + 6 3x = 105 + 6 Combine like terms: 105 + 6 = 111 3x = 111 Divide each side by '3'. x = 37 Simplifying x = 37
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