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Simplifying 9(x + -1) = 7(x + 3) Reorder the terms: 9(-1 + x) = 7(x + 3) (-1 * 9 + x * 9) = 7(x + 3) (-9 + 9x) = 7(x + 3) Reorder the terms: -9 + 9x = 7(3 + x) -9 + 9x = (3 * 7 + x * 7) -9 + 9x = (21 + 7x) Solving -9 + 9x = 21 + 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. -9 + 9x + -7x = 21 + 7x + -7x Combine like terms: 9x + -7x = 2x -9 + 2x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 -9 + 2x = 21 + 0 -9 + 2x = 21 Add '9' to each side of the equation. -9 + 9 + 2x = 21 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = 21 + 9 2x = 21 + 9 Combine like terms: 21 + 9 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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