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Simplifying -5x + -8 = 13 + 8(x + 3) Reorder the terms: -8 + -5x = 13 + 8(x + 3) Reorder the terms: -8 + -5x = 13 + 8(3 + x) -8 + -5x = 13 + (3 * 8 + x * 8) -8 + -5x = 13 + (24 + 8x) Combine like terms: 13 + 24 = 37 -8 + -5x = 37 + 8x Solving -8 + -5x = 37 + 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. -8 + -5x + -8x = 37 + 8x + -8x Combine like terms: -5x + -8x = -13x -8 + -13x = 37 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + -13x = 37 + 0 -8 + -13x = 37 Add '8' to each side of the equation. -8 + 8 + -13x = 37 + 8 Combine like terms: -8 + 8 = 0 0 + -13x = 37 + 8 -13x = 37 + 8 Combine like terms: 37 + 8 = 45 -13x = 45 Divide each side by '-13'. x = -3.461538462 Simplifying x = -3.461538462
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