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Simplifying -5x + 26 = -8(x + -4) Reorder the terms: 26 + -5x = -8(x + -4) Reorder the terms: 26 + -5x = -8(-4 + x) 26 + -5x = (-4 * -8 + x * -8) 26 + -5x = (32 + -8x) Solving 26 + -5x = 32 + -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. 26 + -5x + 8x = 32 + -8x + 8x Combine like terms: -5x + 8x = 3x 26 + 3x = 32 + -8x + 8x Combine like terms: -8x + 8x = 0 26 + 3x = 32 + 0 26 + 3x = 32 Add '-26' to each side of the equation. 26 + -26 + 3x = 32 + -26 Combine like terms: 26 + -26 = 0 0 + 3x = 32 + -26 3x = 32 + -26 Combine like terms: 32 + -26 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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