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Simplifying -6x + -13 = -3(4x + 3) Reorder the terms: -13 + -6x = -3(4x + 3) Reorder the terms: -13 + -6x = -3(3 + 4x) -13 + -6x = (3 * -3 + 4x * -3) -13 + -6x = (-9 + -12x) Solving -13 + -6x = -9 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -13 + -6x + 12x = -9 + -12x + 12x Combine like terms: -6x + 12x = 6x -13 + 6x = -9 + -12x + 12x Combine like terms: -12x + 12x = 0 -13 + 6x = -9 + 0 -13 + 6x = -9 Add '13' to each side of the equation. -13 + 13 + 6x = -9 + 13 Combine like terms: -13 + 13 = 0 0 + 6x = -9 + 13 6x = -9 + 13 Combine like terms: -9 + 13 = 4 6x = 4 Divide each side by '6'. x = 0.6666666667 Simplifying x = 0.6666666667
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