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Simplifying -5(x + 2) + -1(3 + 7x) = -13x Reorder the terms: -5(2 + x) + -1(3 + 7x) = -13x (2 * -5 + x * -5) + -1(3 + 7x) = -13x (-10 + -5x) + -1(3 + 7x) = -13x -10 + -5x + (3 * -1 + 7x * -1) = -13x -10 + -5x + (-3 + -7x) = -13x Reorder the terms: -10 + -3 + -5x + -7x = -13x Combine like terms: -10 + -3 = -13 -13 + -5x + -7x = -13x Combine like terms: -5x + -7x = -12x -13 + -12x = -13x Solving -13 + -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. -13 + -12x + 13x = -13x + 13x Combine like terms: -12x + 13x = 1x -13 + 1x = -13x + 13x Combine like terms: -13x + 13x = 0 -13 + 1x = 0 Add '13' to each side of the equation. -13 + 13 + 1x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = 0 + 13 1x = 0 + 13 Combine like terms: 0 + 13 = 13 1x = 13 Divide each side by '1'. x = 13 Simplifying x = 13
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