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Simplifying 8 + -4x = 11 + -1(5x + 6) Reorder the terms: 8 + -4x = 11 + -1(6 + 5x) 8 + -4x = 11 + (6 * -1 + 5x * -1) 8 + -4x = 11 + (-6 + -5x) Combine like terms: 11 + -6 = 5 8 + -4x = 5 + -5x Solving 8 + -4x = 5 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 8 + -4x + 5x = 5 + -5x + 5x Combine like terms: -4x + 5x = 1x 8 + 1x = 5 + -5x + 5x Combine like terms: -5x + 5x = 0 8 + 1x = 5 + 0 8 + 1x = 5 Add '-8' to each side of the equation. 8 + -8 + 1x = 5 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 5 + -8 1x = 5 + -8 Combine like terms: 5 + -8 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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