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Simplifying 3(x + -9) + 9x = 2x + -7 Reorder the terms: 3(-9 + x) + 9x = 2x + -7 (-9 * 3 + x * 3) + 9x = 2x + -7 (-27 + 3x) + 9x = 2x + -7 Combine like terms: 3x + 9x = 12x -27 + 12x = 2x + -7 Reorder the terms: -27 + 12x = -7 + 2x Solving -27 + 12x = -7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -27 + 12x + -2x = -7 + 2x + -2x Combine like terms: 12x + -2x = 10x -27 + 10x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 -27 + 10x = -7 + 0 -27 + 10x = -7 Add '27' to each side of the equation. -27 + 27 + 10x = -7 + 27 Combine like terms: -27 + 27 = 0 0 + 10x = -7 + 27 10x = -7 + 27 Combine like terms: -7 + 27 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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