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Simplifying 3(x + 4) + 5 = 7x + 9 Reorder the terms: 3(4 + x) + 5 = 7x + 9 (4 * 3 + x * 3) + 5 = 7x + 9 (12 + 3x) + 5 = 7x + 9 Reorder the terms: 12 + 5 + 3x = 7x + 9 Combine like terms: 12 + 5 = 17 17 + 3x = 7x + 9 Reorder the terms: 17 + 3x = 9 + 7x Solving 17 + 3x = 9 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 17 + 3x + -7x = 9 + 7x + -7x Combine like terms: 3x + -7x = -4x 17 + -4x = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 17 + -4x = 9 + 0 17 + -4x = 9 Add '-17' to each side of the equation. 17 + -17 + -4x = 9 + -17 Combine like terms: 17 + -17 = 0 0 + -4x = 9 + -17 -4x = 9 + -17 Combine like terms: 9 + -17 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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