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Simplifying 8x + -1(2x + 1) = 3x + -13 Reorder the terms: 8x + -1(1 + 2x) = 3x + -13 8x + (1 * -1 + 2x * -1) = 3x + -13 8x + (-1 + -2x) = 3x + -13 Reorder the terms: -1 + 8x + -2x = 3x + -13 Combine like terms: 8x + -2x = 6x -1 + 6x = 3x + -13 Reorder the terms: -1 + 6x = -13 + 3x Solving -1 + 6x = -13 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -1 + 6x + -3x = -13 + 3x + -3x Combine like terms: 6x + -3x = 3x -1 + 3x = -13 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + 3x = -13 + 0 -1 + 3x = -13 Add '1' to each side of the equation. -1 + 1 + 3x = -13 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = -13 + 1 3x = -13 + 1 Combine like terms: -13 + 1 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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