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Simplifying 4(3x + 5) + 1 = 3 + 5(2x + 2) Reorder the terms: 4(5 + 3x) + 1 = 3 + 5(2x + 2) (5 * 4 + 3x * 4) + 1 = 3 + 5(2x + 2) (20 + 12x) + 1 = 3 + 5(2x + 2) Reorder the terms: 20 + 1 + 12x = 3 + 5(2x + 2) Combine like terms: 20 + 1 = 21 21 + 12x = 3 + 5(2x + 2) Reorder the terms: 21 + 12x = 3 + 5(2 + 2x) 21 + 12x = 3 + (2 * 5 + 2x * 5) 21 + 12x = 3 + (10 + 10x) Combine like terms: 3 + 10 = 13 21 + 12x = 13 + 10x Solving 21 + 12x = 13 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 21 + 12x + -10x = 13 + 10x + -10x Combine like terms: 12x + -10x = 2x 21 + 2x = 13 + 10x + -10x Combine like terms: 10x + -10x = 0 21 + 2x = 13 + 0 21 + 2x = 13 Add '-21' to each side of the equation. 21 + -21 + 2x = 13 + -21 Combine like terms: 21 + -21 = 0 0 + 2x = 13 + -21 2x = 13 + -21 Combine like terms: 13 + -21 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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