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Simplifying -7(x + 9) + -1(4 + 5x) = -13x Reorder the terms: -7(9 + x) + -1(4 + 5x) = -13x (9 * -7 + x * -7) + -1(4 + 5x) = -13x (-63 + -7x) + -1(4 + 5x) = -13x -63 + -7x + (4 * -1 + 5x * -1) = -13x -63 + -7x + (-4 + -5x) = -13x Reorder the terms: -63 + -4 + -7x + -5x = -13x Combine like terms: -63 + -4 = -67 -67 + -7x + -5x = -13x Combine like terms: -7x + -5x = -12x -67 + -12x = -13x Solving -67 + -12x = -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. -67 + -12x + 13x = -13x + 13x Combine like terms: -12x + 13x = 1x -67 + 1x = -13x + 13x Combine like terms: -13x + 13x = 0 -67 + 1x = 0 Add '67' to each side of the equation. -67 + 67 + 1x = 0 + 67 Combine like terms: -67 + 67 = 0 0 + 1x = 0 + 67 1x = 0 + 67 Combine like terms: 0 + 67 = 67 1x = 67 Divide each side by '1'. x = 67 Simplifying x = 67
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