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Simplifying -7(x + 9) + -1(2 + -5x) = -13x Reorder the terms: -7(9 + x) + -1(2 + -5x) = -13x (9 * -7 + x * -7) + -1(2 + -5x) = -13x (-63 + -7x) + -1(2 + -5x) = -13x -63 + -7x + (2 * -1 + -5x * -1) = -13x -63 + -7x + (-2 + 5x) = -13x Reorder the terms: -63 + -2 + -7x + 5x = -13x Combine like terms: -63 + -2 = -65 -65 + -7x + 5x = -13x Combine like terms: -7x + 5x = -2x -65 + -2x = -13x Solving -65 + -2x = -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. -65 + -2x + 13x = -13x + 13x Combine like terms: -2x + 13x = 11x -65 + 11x = -13x + 13x Combine like terms: -13x + 13x = 0 -65 + 11x = 0 Add '65' to each side of the equation. -65 + 65 + 11x = 0 + 65 Combine like terms: -65 + 65 = 0 0 + 11x = 0 + 65 11x = 0 + 65 Combine like terms: 0 + 65 = 65 11x = 65 Divide each side by '11'. x = 5.909090909 Simplifying x = 5.909090909
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