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Simplifying -7(1 + -4x) = 13(3x + -9) (1 * -7 + -4x * -7) = 13(3x + -9) (-7 + 28x) = 13(3x + -9) Reorder the terms: -7 + 28x = 13(-9 + 3x) -7 + 28x = (-9 * 13 + 3x * 13) -7 + 28x = (-117 + 39x) Solving -7 + 28x = -117 + 39x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39x' to each side of the equation. -7 + 28x + -39x = -117 + 39x + -39x Combine like terms: 28x + -39x = -11x -7 + -11x = -117 + 39x + -39x Combine like terms: 39x + -39x = 0 -7 + -11x = -117 + 0 -7 + -11x = -117 Add '7' to each side of the equation. -7 + 7 + -11x = -117 + 7 Combine like terms: -7 + 7 = 0 0 + -11x = -117 + 7 -11x = -117 + 7 Combine like terms: -117 + 7 = -110 -11x = -110 Divide each side by '-11'. x = 10 Simplifying x = 10
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