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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 = 8 -5 + -12x = 8 + -9x Solving -5 + -12x = 8 + -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 = 8 + -9x + 9x Combine like terms: -12x + 9x = -3x -5 + -3x = 8 + -9x + 9x Combine like terms: -9x + 9x = 0 -5 + -3x = 8 + 0 -5 + -3x = 8 Add '5' to each side of the equation. -5 + 5 + -3x = 8 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = 8 + 5 -3x = 8 + 5 Combine like terms: 8 + 5 = 13 -3x = 13 Divide each side by '-3'. x = -4.333333333 Simplifying x = -4.333333333
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