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Simplifying 75 = 6x + 5(3x + -6) Reorder the terms: 75 = 6x + 5(-6 + 3x) 75 = 6x + (-6 * 5 + 3x * 5) 75 = 6x + (-30 + 15x) Reorder the terms: 75 = -30 + 6x + 15x Combine like terms: 6x + 15x = 21x 75 = -30 + 21x Solving 75 = -30 + 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 = -30 + 21x + -21x Combine like terms: 21x + -21x = 0 75 + -21x = -30 + 0 75 + -21x = -30 Add '-75' to each side of the equation. 75 + -75 + -21x = -30 + -75 Combine like terms: 75 + -75 = 0 0 + -21x = -30 + -75 -21x = -30 + -75 Combine like terms: -30 + -75 = -105 -21x = -105 Divide each side by '-21'. x = 5 Simplifying x = 5
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