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Simplifying 6x + -1(5 + -3x) = -3(x + 1) 6x + (5 * -1 + -3x * -1) = -3(x + 1) 6x + (-5 + 3x) = -3(x + 1) Reorder the terms: -5 + 6x + 3x = -3(x + 1) Combine like terms: 6x + 3x = 9x -5 + 9x = -3(x + 1) Reorder the terms: -5 + 9x = -3(1 + x) -5 + 9x = (1 * -3 + x * -3) -5 + 9x = (-3 + -3x) Solving -5 + 9x = -3 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -5 + 9x + 3x = -3 + -3x + 3x Combine like terms: 9x + 3x = 12x -5 + 12x = -3 + -3x + 3x Combine like terms: -3x + 3x = 0 -5 + 12x = -3 + 0 -5 + 12x = -3 Add '5' to each side of the equation. -5 + 5 + 12x = -3 + 5 Combine like terms: -5 + 5 = 0 0 + 12x = -3 + 5 12x = -3 + 5 Combine like terms: -3 + 5 = 2 12x = 2 Divide each side by '12'. x = 0.1666666667 Simplifying x = 0.1666666667
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