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Simplifying -1(x + 6) = 3(4x + -3) Reorder the terms: -1(6 + x) = 3(4x + -3) (6 * -1 + x * -1) = 3(4x + -3) (-6 + -1x) = 3(4x + -3) Reorder the terms: -6 + -1x = 3(-3 + 4x) -6 + -1x = (-3 * 3 + 4x * 3) -6 + -1x = (-9 + 12x) Solving -6 + -1x = -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. -6 + -1x + -12x = -9 + 12x + -12x Combine like terms: -1x + -12x = -13x -6 + -13x = -9 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -13x = -9 + 0 -6 + -13x = -9 Add '6' to each side of the equation. -6 + 6 + -13x = -9 + 6 Combine like terms: -6 + 6 = 0 0 + -13x = -9 + 6 -13x = -9 + 6 Combine like terms: -9 + 6 = -3 -13x = -3 Divide each side by '-13'. x = 0.2307692308 Simplifying x = 0.2307692308
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