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Simplifying 6(x + 7) + 9 = 4(x + 15) Reorder the terms: 6(7 + x) + 9 = 4(x + 15) (7 * 6 + x * 6) + 9 = 4(x + 15) (42 + 6x) + 9 = 4(x + 15) Reorder the terms: 42 + 9 + 6x = 4(x + 15) Combine like terms: 42 + 9 = 51 51 + 6x = 4(x + 15) Reorder the terms: 51 + 6x = 4(15 + x) 51 + 6x = (15 * 4 + x * 4) 51 + 6x = (60 + 4x) Solving 51 + 6x = 60 + 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. 51 + 6x + -4x = 60 + 4x + -4x Combine like terms: 6x + -4x = 2x 51 + 2x = 60 + 4x + -4x Combine like terms: 4x + -4x = 0 51 + 2x = 60 + 0 51 + 2x = 60 Add '-51' to each side of the equation. 51 + -51 + 2x = 60 + -51 Combine like terms: 51 + -51 = 0 0 + 2x = 60 + -51 2x = 60 + -51 Combine like terms: 60 + -51 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5
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