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Simplifying 6(7 + 4x) = 3x + 21 (7 * 6 + 4x * 6) = 3x + 21 (42 + 24x) = 3x + 21 Reorder the terms: 42 + 24x = 21 + 3x Solving 42 + 24x = 21 + 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. 42 + 24x + -3x = 21 + 3x + -3x Combine like terms: 24x + -3x = 21x 42 + 21x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 42 + 21x = 21 + 0 42 + 21x = 21 Add '-42' to each side of the equation. 42 + -42 + 21x = 21 + -42 Combine like terms: 42 + -42 = 0 0 + 21x = 21 + -42 21x = 21 + -42 Combine like terms: 21 + -42 = -21 21x = -21 Divide each side by '21'. x = -1 Simplifying x = -1
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