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Simplifying 7 + 3(x + -9) = 3 + -9(x + -1) Reorder the terms: 7 + 3(-9 + x) = 3 + -9(x + -1) 7 + (-9 * 3 + x * 3) = 3 + -9(x + -1) 7 + (-27 + 3x) = 3 + -9(x + -1) Combine like terms: 7 + -27 = -20 -20 + 3x = 3 + -9(x + -1) Reorder the terms: -20 + 3x = 3 + -9(-1 + x) -20 + 3x = 3 + (-1 * -9 + x * -9) -20 + 3x = 3 + (9 + -9x) Combine like terms: 3 + 9 = 12 -20 + 3x = 12 + -9x Solving -20 + 3x = 12 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -20 + 3x + 9x = 12 + -9x + 9x Combine like terms: 3x + 9x = 12x -20 + 12x = 12 + -9x + 9x Combine like terms: -9x + 9x = 0 -20 + 12x = 12 + 0 -20 + 12x = 12 Add '20' to each side of the equation. -20 + 20 + 12x = 12 + 20 Combine like terms: -20 + 20 = 0 0 + 12x = 12 + 20 12x = 12 + 20 Combine like terms: 12 + 20 = 32 12x = 32 Divide each side by '12'. x = 2.666666667 Simplifying x = 2.666666667
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