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Simplifying -3x + 8 = 5 + -1(11x + 6) Reorder the terms: 8 + -3x = 5 + -1(11x + 6) Reorder the terms: 8 + -3x = 5 + -1(6 + 11x) 8 + -3x = 5 + (6 * -1 + 11x * -1) 8 + -3x = 5 + (-6 + -11x) Combine like terms: 5 + -6 = -1 8 + -3x = -1 + -11x Solving 8 + -3x = -1 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 8 + -3x + 11x = -1 + -11x + 11x Combine like terms: -3x + 11x = 8x 8 + 8x = -1 + -11x + 11x Combine like terms: -11x + 11x = 0 8 + 8x = -1 + 0 8 + 8x = -1 Add '-8' to each side of the equation. 8 + -8 + 8x = -1 + -8 Combine like terms: 8 + -8 = 0 0 + 8x = -1 + -8 8x = -1 + -8 Combine like terms: -1 + -8 = -9 8x = -9 Divide each side by '8'. x = -1.125 Simplifying x = -1.125
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