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Simplifying -5(x + -6) + -4 = 8(x + -8) Reorder the terms: -5(-6 + x) + -4 = 8(x + -8) (-6 * -5 + x * -5) + -4 = 8(x + -8) (30 + -5x) + -4 = 8(x + -8) Reorder the terms: 30 + -4 + -5x = 8(x + -8) Combine like terms: 30 + -4 = 26 26 + -5x = 8(x + -8) Reorder the terms: 26 + -5x = 8(-8 + x) 26 + -5x = (-8 * 8 + x * 8) 26 + -5x = (-64 + 8x) Solving 26 + -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. 26 + -5x + -8x = -64 + 8x + -8x Combine like terms: -5x + -8x = -13x 26 + -13x = -64 + 8x + -8x Combine like terms: 8x + -8x = 0 26 + -13x = -64 + 0 26 + -13x = -64 Add '-26' to each side of the equation. 26 + -26 + -13x = -64 + -26 Combine like terms: 26 + -26 = 0 0 + -13x = -64 + -26 -13x = -64 + -26 Combine like terms: -64 + -26 = -90 -13x = -90 Divide each side by '-13'. x = 6.923076923 Simplifying x = 6.923076923
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