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Simplifying -3(13 + 4x) = -4(-14 + 2x) + 9 (13 * -3 + 4x * -3) = -4(-14 + 2x) + 9 (-39 + -12x) = -4(-14 + 2x) + 9 -39 + -12x = (-14 * -4 + 2x * -4) + 9 -39 + -12x = (56 + -8x) + 9 Reorder the terms: -39 + -12x = 56 + 9 + -8x Combine like terms: 56 + 9 = 65 -39 + -12x = 65 + -8x Solving -39 + -12x = 65 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -39 + -12x + 8x = 65 + -8x + 8x Combine like terms: -12x + 8x = -4x -39 + -4x = 65 + -8x + 8x Combine like terms: -8x + 8x = 0 -39 + -4x = 65 + 0 -39 + -4x = 65 Add '39' to each side of the equation. -39 + 39 + -4x = 65 + 39 Combine like terms: -39 + 39 = 0 0 + -4x = 65 + 39 -4x = 65 + 39 Combine like terms: 65 + 39 = 104 -4x = 104 Divide each side by '-4'. x = -26 Simplifying x = -26
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