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Simplifying 5x + -1(8x + 2) = 8x + -13 Reorder the terms: 5x + -1(2 + 8x) = 8x + -13 5x + (2 * -1 + 8x * -1) = 8x + -13 5x + (-2 + -8x) = 8x + -13 Reorder the terms: -2 + 5x + -8x = 8x + -13 Combine like terms: 5x + -8x = -3x -2 + -3x = 8x + -13 Reorder the terms: -2 + -3x = -13 + 8x Solving -2 + -3x = -13 + 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. -2 + -3x + -8x = -13 + 8x + -8x Combine like terms: -3x + -8x = -11x -2 + -11x = -13 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + -11x = -13 + 0 -2 + -11x = -13 Add '2' to each side of the equation. -2 + 2 + -11x = -13 + 2 Combine like terms: -2 + 2 = 0 0 + -11x = -13 + 2 -11x = -13 + 2 Combine like terms: -13 + 2 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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