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Simplifying -7(x + 8) + -1(3 + 5x) = -13x Reorder the terms: -7(8 + x) + -1(3 + 5x) = -13x (8 * -7 + x * -7) + -1(3 + 5x) = -13x (-56 + -7x) + -1(3 + 5x) = -13x -56 + -7x + (3 * -1 + 5x * -1) = -13x -56 + -7x + (-3 + -5x) = -13x Reorder the terms: -56 + -3 + -7x + -5x = -13x Combine like terms: -56 + -3 = -59 -59 + -7x + -5x = -13x Combine like terms: -7x + -5x = -12x -59 + -12x = -13x Solving -59 + -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. -59 + -12x + 13x = -13x + 13x Combine like terms: -12x + 13x = 1x -59 + 1x = -13x + 13x Combine like terms: -13x + 13x = 0 -59 + 1x = 0 Add '59' to each side of the equation. -59 + 59 + 1x = 0 + 59 Combine like terms: -59 + 59 = 0 0 + 1x = 0 + 59 1x = 0 + 59 Combine like terms: 0 + 59 = 59 1x = 59 Divide each side by '1'. x = 59 Simplifying x = 59
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