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Simplifying 3(x + -9) = 6(x + 7) + -1x Reorder the terms: 3(-9 + x) = 6(x + 7) + -1x (-9 * 3 + x * 3) = 6(x + 7) + -1x (-27 + 3x) = 6(x + 7) + -1x Reorder the terms: -27 + 3x = 6(7 + x) + -1x -27 + 3x = (7 * 6 + x * 6) + -1x -27 + 3x = (42 + 6x) + -1x Combine like terms: 6x + -1x = 5x -27 + 3x = 42 + 5x Solving -27 + 3x = 42 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -27 + 3x + -5x = 42 + 5x + -5x Combine like terms: 3x + -5x = -2x -27 + -2x = 42 + 5x + -5x Combine like terms: 5x + -5x = 0 -27 + -2x = 42 + 0 -27 + -2x = 42 Add '27' to each side of the equation. -27 + 27 + -2x = 42 + 27 Combine like terms: -27 + 27 = 0 0 + -2x = 42 + 27 -2x = 42 + 27 Combine like terms: 42 + 27 = 69 -2x = 69 Divide each side by '-2'. x = -34.5 Simplifying x = -34.5
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