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Simplifying -5x + -13 = -8(x + -1) Reorder the terms: -13 + -5x = -8(x + -1) Reorder the terms: -13 + -5x = -8(-1 + x) -13 + -5x = (-1 * -8 + x * -8) -13 + -5x = (8 + -8x) Solving -13 + -5x = 8 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -13 + -5x + 8x = 8 + -8x + 8x Combine like terms: -5x + 8x = 3x -13 + 3x = 8 + -8x + 8x Combine like terms: -8x + 8x = 0 -13 + 3x = 8 + 0 -13 + 3x = 8 Add '13' to each side of the equation. -13 + 13 + 3x = 8 + 13 Combine like terms: -13 + 13 = 0 0 + 3x = 8 + 13 3x = 8 + 13 Combine like terms: 8 + 13 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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