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Simplifying 3(x + 9) = 7(x + 5) Reorder the terms: 3(9 + x) = 7(x + 5) (9 * 3 + x * 3) = 7(x + 5) (27 + 3x) = 7(x + 5) Reorder the terms: 27 + 3x = 7(5 + x) 27 + 3x = (5 * 7 + x * 7) 27 + 3x = (35 + 7x) Solving 27 + 3x = 35 + 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. 27 + 3x + -7x = 35 + 7x + -7x Combine like terms: 3x + -7x = -4x 27 + -4x = 35 + 7x + -7x Combine like terms: 7x + -7x = 0 27 + -4x = 35 + 0 27 + -4x = 35 Add '-27' to each side of the equation. 27 + -27 + -4x = 35 + -27 Combine like terms: 27 + -27 = 0 0 + -4x = 35 + -27 -4x = 35 + -27 Combine like terms: 35 + -27 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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