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Simplifying 45(x + 2) = 3(x + 4) Reorder the terms: 45(2 + x) = 3(x + 4) (2 * 45 + x * 45) = 3(x + 4) (90 + 45x) = 3(x + 4) Reorder the terms: 90 + 45x = 3(4 + x) 90 + 45x = (4 * 3 + x * 3) 90 + 45x = (12 + 3x) Solving 90 + 45x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 90 + 45x + -3x = 12 + 3x + -3x Combine like terms: 45x + -3x = 42x 90 + 42x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 90 + 42x = 12 + 0 90 + 42x = 12 Add '-90' to each side of the equation. 90 + -90 + 42x = 12 + -90 Combine like terms: 90 + -90 = 0 0 + 42x = 12 + -90 42x = 12 + -90 Combine like terms: 12 + -90 = -78 42x = -78 Divide each side by '42'. x = -1.857142857 Simplifying x = -1.857142857
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