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Simplifying 8x + -1(3x + 2) = 6x + 13 Reorder the terms: 8x + -1(2 + 3x) = 6x + 13 8x + (2 * -1 + 3x * -1) = 6x + 13 8x + (-2 + -3x) = 6x + 13 Reorder the terms: -2 + 8x + -3x = 6x + 13 Combine like terms: 8x + -3x = 5x -2 + 5x = 6x + 13 Reorder the terms: -2 + 5x = 13 + 6x Solving -2 + 5x = 13 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2 + 5x + -6x = 13 + 6x + -6x Combine like terms: 5x + -6x = -1x -2 + -1x = 13 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -1x = 13 + 0 -2 + -1x = 13 Add '2' to each side of the equation. -2 + 2 + -1x = 13 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 13 + 2 -1x = 13 + 2 Combine like terms: 13 + 2 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15
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