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Simplifying 75 = 15x + -6(6x + 7) Reorder the terms: 75 = 15x + -6(7 + 6x) 75 = 15x + (7 * -6 + 6x * -6) 75 = 15x + (-42 + -36x) Reorder the terms: 75 = -42 + 15x + -36x Combine like terms: 15x + -36x = -21x 75 = -42 + -21x Solving 75 = -42 + -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. 75 + 21x = -42 + -21x + 21x Combine like terms: -21x + 21x = 0 75 + 21x = -42 + 0 75 + 21x = -42 Add '-75' to each side of the equation. 75 + -75 + 21x = -42 + -75 Combine like terms: 75 + -75 = 0 0 + 21x = -42 + -75 21x = -42 + -75 Combine like terms: -42 + -75 = -117 21x = -117 Divide each side by '21'. x = -5.571428571 Simplifying x = -5.571428571
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