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Simplifying 2(3x + -5) + -1 = -7(x + -1) + x + -4 Reorder the terms: 2(-5 + 3x) + -1 = -7(x + -1) + x + -4 (-5 * 2 + 3x * 2) + -1 = -7(x + -1) + x + -4 (-10 + 6x) + -1 = -7(x + -1) + x + -4 Reorder the terms: -10 + -1 + 6x = -7(x + -1) + x + -4 Combine like terms: -10 + -1 = -11 -11 + 6x = -7(x + -1) + x + -4 Reorder the terms: -11 + 6x = -7(-1 + x) + x + -4 -11 + 6x = (-1 * -7 + x * -7) + x + -4 -11 + 6x = (7 + -7x) + x + -4 Reorder the terms: -11 + 6x = 7 + -4 + -7x + x Combine like terms: 7 + -4 = 3 -11 + 6x = 3 + -7x + x Combine like terms: -7x + x = -6x -11 + 6x = 3 + -6x Solving -11 + 6x = 3 + -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. -11 + 6x + 6x = 3 + -6x + 6x Combine like terms: 6x + 6x = 12x -11 + 12x = 3 + -6x + 6x Combine like terms: -6x + 6x = 0 -11 + 12x = 3 + 0 -11 + 12x = 3 Add '11' to each side of the equation. -11 + 11 + 12x = 3 + 11 Combine like terms: -11 + 11 = 0 0 + 12x = 3 + 11 12x = 3 + 11 Combine like terms: 3 + 11 = 14 12x = 14 Divide each side by '12'. x = 1.166666667 Simplifying x = 1.166666667
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