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Simplifying 8x + -1(2x + 5) = 2x + -49 Reorder the terms: 8x + -1(5 + 2x) = 2x + -49 8x + (5 * -1 + 2x * -1) = 2x + -49 8x + (-5 + -2x) = 2x + -49 Reorder the terms: -5 + 8x + -2x = 2x + -49 Combine like terms: 8x + -2x = 6x -5 + 6x = 2x + -49 Reorder the terms: -5 + 6x = -49 + 2x Solving -5 + 6x = -49 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + 6x + -2x = -49 + 2x + -2x Combine like terms: 6x + -2x = 4x -5 + 4x = -49 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 4x = -49 + 0 -5 + 4x = -49 Add '5' to each side of the equation. -5 + 5 + 4x = -49 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = -49 + 5 4x = -49 + 5 Combine like terms: -49 + 5 = -44 4x = -44 Divide each side by '4'. x = -11 Simplifying x = -11
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