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Simplifying 3 + -4(3x + 2) = 7 + -1(9x + 1) Reorder the terms: 3 + -4(2 + 3x) = 7 + -1(9x + 1) 3 + (2 * -4 + 3x * -4) = 7 + -1(9x + 1) 3 + (-8 + -12x) = 7 + -1(9x + 1) Combine like terms: 3 + -8 = -5 -5 + -12x = 7 + -1(9x + 1) Reorder the terms: -5 + -12x = 7 + -1(1 + 9x) -5 + -12x = 7 + (1 * -1 + 9x * -1) -5 + -12x = 7 + (-1 + -9x) Combine like terms: 7 + -1 = 6 -5 + -12x = 6 + -9x Solving -5 + -12x = 6 + -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. -5 + -12x + 9x = 6 + -9x + 9x Combine like terms: -12x + 9x = -3x -5 + -3x = 6 + -9x + 9x Combine like terms: -9x + 9x = 0 -5 + -3x = 6 + 0 -5 + -3x = 6 Add '5' to each side of the equation. -5 + 5 + -3x = 6 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = 6 + 5 -3x = 6 + 5 Combine like terms: 6 + 5 = 11 -3x = 11 Divide each side by '-3'. x = -3.666666667 Simplifying x = -3.666666667
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