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Simplifying 6x + -1(x + 7) = 3(x + 9) Reorder the terms: 6x + -1(7 + x) = 3(x + 9) 6x + (7 * -1 + x * -1) = 3(x + 9) 6x + (-7 + -1x) = 3(x + 9) Reorder the terms: -7 + 6x + -1x = 3(x + 9) Combine like terms: 6x + -1x = 5x -7 + 5x = 3(x + 9) Reorder the terms: -7 + 5x = 3(9 + x) -7 + 5x = (9 * 3 + x * 3) -7 + 5x = (27 + 3x) Solving -7 + 5x = 27 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -7 + 5x + -3x = 27 + 3x + -3x Combine like terms: 5x + -3x = 2x -7 + 2x = 27 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + 2x = 27 + 0 -7 + 2x = 27 Add '7' to each side of the equation. -7 + 7 + 2x = 27 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 27 + 7 2x = 27 + 7 Combine like terms: 27 + 7 = 34 2x = 34 Divide each side by '2'. x = 17 Simplifying x = 17
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