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Simplifying -5x + 49 = -8(x + -8) Reorder the terms: 49 + -5x = -8(x + -8) Reorder the terms: 49 + -5x = -8(-8 + x) 49 + -5x = (-8 * -8 + x * -8) 49 + -5x = (64 + -8x) Solving 49 + -5x = 64 + -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. 49 + -5x + 8x = 64 + -8x + 8x Combine like terms: -5x + 8x = 3x 49 + 3x = 64 + -8x + 8x Combine like terms: -8x + 8x = 0 49 + 3x = 64 + 0 49 + 3x = 64 Add '-49' to each side of the equation. 49 + -49 + 3x = 64 + -49 Combine like terms: 49 + -49 = 0 0 + 3x = 64 + -49 3x = 64 + -49 Combine like terms: 64 + -49 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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