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Simplifying 45 + x = -3(5 + -7x) 45 + x = (5 * -3 + -7x * -3) 45 + x = (-15 + 21x) Solving 45 + x = -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. 45 + x + -21x = -15 + 21x + -21x Combine like terms: x + -21x = -20x 45 + -20x = -15 + 21x + -21x Combine like terms: 21x + -21x = 0 45 + -20x = -15 + 0 45 + -20x = -15 Add '-45' to each side of the equation. 45 + -45 + -20x = -15 + -45 Combine like terms: 45 + -45 = 0 0 + -20x = -15 + -45 -20x = -15 + -45 Combine like terms: -15 + -45 = -60 -20x = -60 Divide each side by '-20'. x = 3 Simplifying x = 3
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