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Simplifying -45 = 3(4x + 5) Reorder the terms: -45 = 3(5 + 4x) -45 = (5 * 3 + 4x * 3) -45 = (15 + 12x) Solving -45 = 15 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -45 + -12x = 15 + 12x + -12x Combine like terms: 12x + -12x = 0 -45 + -12x = 15 + 0 -45 + -12x = 15 Add '45' to each side of the equation. -45 + 45 + -12x = 15 + 45 Combine like terms: -45 + 45 = 0 0 + -12x = 15 + 45 -12x = 15 + 45 Combine like terms: 15 + 45 = 60 -12x = 60 Divide each side by '-12'. x = -5 Simplifying x = -5
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