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Simplifying 8x + -1(7x + 1) = 3x + -13 Reorder the terms: 8x + -1(1 + 7x) = 3x + -13 8x + (1 * -1 + 7x * -1) = 3x + -13 8x + (-1 + -7x) = 3x + -13 Reorder the terms: -1 + 8x + -7x = 3x + -13 Combine like terms: 8x + -7x = 1x -1 + 1x = 3x + -13 Reorder the terms: -1 + 1x = -13 + 3x Solving -1 + 1x = -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 + 1x + -3x = -13 + 3x + -3x Combine like terms: 1x + -3x = -2x -1 + -2x = -13 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + -2x = -13 + 0 -1 + -2x = -13 Add '1' to each side of the equation. -1 + 1 + -2x = -13 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = -13 + 1 -2x = -13 + 1 Combine like terms: -13 + 1 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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