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Simplifying 4(3x + -1) + -1(3x + 5) = (6x + -1) + -5 Reorder the terms: 4(-1 + 3x) + -1(3x + 5) = (6x + -1) + -5 (-1 * 4 + 3x * 4) + -1(3x + 5) = (6x + -1) + -5 (-4 + 12x) + -1(3x + 5) = (6x + -1) + -5 Reorder the terms: -4 + 12x + -1(5 + 3x) = (6x + -1) + -5 -4 + 12x + (5 * -1 + 3x * -1) = (6x + -1) + -5 -4 + 12x + (-5 + -3x) = (6x + -1) + -5 Reorder the terms: -4 + -5 + 12x + -3x = (6x + -1) + -5 Combine like terms: -4 + -5 = -9 -9 + 12x + -3x = (6x + -1) + -5 Combine like terms: 12x + -3x = 9x -9 + 9x = (6x + -1) + -5 Reorder the terms: -9 + 9x = (-1 + 6x) + -5 Remove parenthesis around (-1 + 6x) -9 + 9x = -1 + 6x + -5 Reorder the terms: -9 + 9x = -1 + -5 + 6x Combine like terms: -1 + -5 = -6 -9 + 9x = -6 + 6x Solving -9 + 9x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -9 + 9x + -6x = -6 + 6x + -6x Combine like terms: 9x + -6x = 3x -9 + 3x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 -9 + 3x = -6 + 0 -9 + 3x = -6 Add '9' to each side of the equation. -9 + 9 + 3x = -6 + 9 Combine like terms: -9 + 9 = 0 0 + 3x = -6 + 9 3x = -6 + 9 Combine like terms: -6 + 9 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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