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Simplifying 4(3x + 4) + 5 = 5x + -21 Reorder the terms: 4(4 + 3x) + 5 = 5x + -21 (4 * 4 + 3x * 4) + 5 = 5x + -21 (16 + 12x) + 5 = 5x + -21 Reorder the terms: 16 + 5 + 12x = 5x + -21 Combine like terms: 16 + 5 = 21 21 + 12x = 5x + -21 Reorder the terms: 21 + 12x = -21 + 5x Solving 21 + 12x = -21 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 21 + 12x + -5x = -21 + 5x + -5x Combine like terms: 12x + -5x = 7x 21 + 7x = -21 + 5x + -5x Combine like terms: 5x + -5x = 0 21 + 7x = -21 + 0 21 + 7x = -21 Add '-21' to each side of the equation. 21 + -21 + 7x = -21 + -21 Combine like terms: 21 + -21 = 0 0 + 7x = -21 + -21 7x = -21 + -21 Combine like terms: -21 + -21 = -42 7x = -42 Divide each side by '7'. x = -6 Simplifying x = -6
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