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Simplifying 2x + -5 + -1(5x + 1) = 5x + -14 Reorder the terms: 2x + -5 + -1(1 + 5x) = 5x + -14 2x + -5 + (1 * -1 + 5x * -1) = 5x + -14 2x + -5 + (-1 + -5x) = 5x + -14 Reorder the terms: -5 + -1 + 2x + -5x = 5x + -14 Combine like terms: -5 + -1 = -6 -6 + 2x + -5x = 5x + -14 Combine like terms: 2x + -5x = -3x -6 + -3x = 5x + -14 Reorder the terms: -6 + -3x = -14 + 5x Solving -6 + -3x = -14 + 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. -6 + -3x + -5x = -14 + 5x + -5x Combine like terms: -3x + -5x = -8x -6 + -8x = -14 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -8x = -14 + 0 -6 + -8x = -14 Add '6' to each side of the equation. -6 + 6 + -8x = -14 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = -14 + 6 -8x = -14 + 6 Combine like terms: -14 + 6 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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