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Simplifying 3(x + 7) + 9x = 4x + 45 Reorder the terms: 3(7 + x) + 9x = 4x + 45 (7 * 3 + x * 3) + 9x = 4x + 45 (21 + 3x) + 9x = 4x + 45 Combine like terms: 3x + 9x = 12x 21 + 12x = 4x + 45 Reorder the terms: 21 + 12x = 45 + 4x Solving 21 + 12x = 45 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 21 + 12x + -4x = 45 + 4x + -4x Combine like terms: 12x + -4x = 8x 21 + 8x = 45 + 4x + -4x Combine like terms: 4x + -4x = 0 21 + 8x = 45 + 0 21 + 8x = 45 Add '-21' to each side of the equation. 21 + -21 + 8x = 45 + -21 Combine like terms: 21 + -21 = 0 0 + 8x = 45 + -21 8x = 45 + -21 Combine like terms: 45 + -21 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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