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Simplifying 3(x + 7) = 45 + -3x Reorder the terms: 3(7 + x) = 45 + -3x (7 * 3 + x * 3) = 45 + -3x (21 + 3x) = 45 + -3x Solving 21 + 3x = 45 + -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. 21 + 3x + 3x = 45 + -3x + 3x Combine like terms: 3x + 3x = 6x 21 + 6x = 45 + -3x + 3x Combine like terms: -3x + 3x = 0 21 + 6x = 45 + 0 21 + 6x = 45 Add '-21' to each side of the equation. 21 + -21 + 6x = 45 + -21 Combine like terms: 21 + -21 = 0 0 + 6x = 45 + -21 6x = 45 + -21 Combine like terms: 45 + -21 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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