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Simplifying 3x + -1(6x + 5) = 8x + -49 Reorder the terms: 3x + -1(5 + 6x) = 8x + -49 3x + (5 * -1 + 6x * -1) = 8x + -49 3x + (-5 + -6x) = 8x + -49 Reorder the terms: -5 + 3x + -6x = 8x + -49 Combine like terms: 3x + -6x = -3x -5 + -3x = 8x + -49 Reorder the terms: -5 + -3x = -49 + 8x Solving -5 + -3x = -49 + 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. -5 + -3x + -8x = -49 + 8x + -8x Combine like terms: -3x + -8x = -11x -5 + -11x = -49 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + -11x = -49 + 0 -5 + -11x = -49 Add '5' to each side of the equation. -5 + 5 + -11x = -49 + 5 Combine like terms: -5 + 5 = 0 0 + -11x = -49 + 5 -11x = -49 + 5 Combine like terms: -49 + 5 = -44 -11x = -44 Divide each side by '-11'. x = 4 Simplifying x = 4
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