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Simplifying 7(x + 3) = 9(x + 4) + -1 Reorder the terms: 7(3 + x) = 9(x + 4) + -1 (3 * 7 + x * 7) = 9(x + 4) + -1 (21 + 7x) = 9(x + 4) + -1 Reorder the terms: 21 + 7x = 9(4 + x) + -1 21 + 7x = (4 * 9 + x * 9) + -1 21 + 7x = (36 + 9x) + -1 Reorder the terms: 21 + 7x = 36 + -1 + 9x Combine like terms: 36 + -1 = 35 21 + 7x = 35 + 9x Solving 21 + 7x = 35 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 21 + 7x + -9x = 35 + 9x + -9x Combine like terms: 7x + -9x = -2x 21 + -2x = 35 + 9x + -9x Combine like terms: 9x + -9x = 0 21 + -2x = 35 + 0 21 + -2x = 35 Add '-21' to each side of the equation. 21 + -21 + -2x = 35 + -21 Combine like terms: 21 + -21 = 0 0 + -2x = 35 + -21 -2x = 35 + -21 Combine like terms: 35 + -21 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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