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Simplifying (6x + 3) + -1(3x + 4) = (x + -4) + -1(x + 1) Reorder the terms: (3 + 6x) + -1(3x + 4) = (x + -4) + -1(x + 1) Remove parenthesis around (3 + 6x) 3 + 6x + -1(3x + 4) = (x + -4) + -1(x + 1) Reorder the terms: 3 + 6x + -1(4 + 3x) = (x + -4) + -1(x + 1) 3 + 6x + (4 * -1 + 3x * -1) = (x + -4) + -1(x + 1) 3 + 6x + (-4 + -3x) = (x + -4) + -1(x + 1) Reorder the terms: 3 + -4 + 6x + -3x = (x + -4) + -1(x + 1) Combine like terms: 3 + -4 = -1 -1 + 6x + -3x = (x + -4) + -1(x + 1) Combine like terms: 6x + -3x = 3x -1 + 3x = (x + -4) + -1(x + 1) Reorder the terms: -1 + 3x = (-4 + x) + -1(x + 1) Remove parenthesis around (-4 + x) -1 + 3x = -4 + x + -1(x + 1) Reorder the terms: -1 + 3x = -4 + x + -1(1 + x) -1 + 3x = -4 + x + (1 * -1 + x * -1) -1 + 3x = -4 + x + (-1 + -1x) Reorder the terms: -1 + 3x = -4 + -1 + x + -1x Combine like terms: -4 + -1 = -5 -1 + 3x = -5 + x + -1x Combine like terms: x + -1x = 0 -1 + 3x = -5 + 0 -1 + 3x = -5 Solving -1 + 3x = -5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 3x = -5 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = -5 + 1 3x = -5 + 1 Combine like terms: -5 + 1 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333
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