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Simplifying 6 + -1(x + 6) = 3(x + 9) Reorder the terms: 6 + -1(6 + x) = 3(x + 9) 6 + (6 * -1 + x * -1) = 3(x + 9) 6 + (-6 + -1x) = 3(x + 9) Combine like terms: 6 + -6 = 0 0 + -1x = 3(x + 9) -1x = 3(x + 9) Reorder the terms: -1x = 3(9 + x) -1x = (9 * 3 + x * 3) -1x = (27 + 3x) Solving -1x = 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. -1x + -3x = 27 + 3x + -3x Combine like terms: -1x + -3x = -4x -4x = 27 + 3x + -3x Combine like terms: 3x + -3x = 0 -4x = 27 + 0 -4x = 27 Divide each side by '-4'. x = -6.75 Simplifying x = -6.75
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