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Simplifying 3(x + -1) = 9x + 7 + -4(-3x + -1) Reorder the terms: 3(-1 + x) = 9x + 7 + -4(-3x + -1) (-1 * 3 + x * 3) = 9x + 7 + -4(-3x + -1) (-3 + 3x) = 9x + 7 + -4(-3x + -1) Reorder the terms: -3 + 3x = 9x + 7 + -4(-1 + -3x) -3 + 3x = 9x + 7 + (-1 * -4 + -3x * -4) -3 + 3x = 9x + 7 + (4 + 12x) Reorder the terms: -3 + 3x = 7 + 4 + 9x + 12x Combine like terms: 7 + 4 = 11 -3 + 3x = 11 + 9x + 12x Combine like terms: 9x + 12x = 21x -3 + 3x = 11 + 21x Solving -3 + 3x = 11 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -3 + 3x + -21x = 11 + 21x + -21x Combine like terms: 3x + -21x = -18x -3 + -18x = 11 + 21x + -21x Combine like terms: 21x + -21x = 0 -3 + -18x = 11 + 0 -3 + -18x = 11 Add '3' to each side of the equation. -3 + 3 + -18x = 11 + 3 Combine like terms: -3 + 3 = 0 0 + -18x = 11 + 3 -18x = 11 + 3 Combine like terms: 11 + 3 = 14 -18x = 14 Divide each side by '-18'. x = -0.7777777778 Simplifying x = -0.7777777778
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