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Simplifying 3(x + -13) = -8(9 + x) Reorder the terms: 3(-13 + x) = -8(9 + x) (-13 * 3 + x * 3) = -8(9 + x) (-39 + 3x) = -8(9 + x) -39 + 3x = (9 * -8 + x * -8) -39 + 3x = (-72 + -8x) Solving -39 + 3x = -72 + -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 + 3x + 8x = -72 + -8x + 8x Combine like terms: 3x + 8x = 11x -39 + 11x = -72 + -8x + 8x Combine like terms: -8x + 8x = 0 -39 + 11x = -72 + 0 -39 + 11x = -72 Add '39' to each side of the equation. -39 + 39 + 11x = -72 + 39 Combine like terms: -39 + 39 = 0 0 + 11x = -72 + 39 11x = -72 + 39 Combine like terms: -72 + 39 = -33 11x = -33 Divide each side by '11'. x = -3 Simplifying x = -3
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