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Simplifying 13x + -1(x + 2) = 8x + 1 Reorder the terms: 13x + -1(2 + x) = 8x + 1 13x + (2 * -1 + x * -1) = 8x + 1 13x + (-2 + -1x) = 8x + 1 Reorder the terms: -2 + 13x + -1x = 8x + 1 Combine like terms: 13x + -1x = 12x -2 + 12x = 8x + 1 Reorder the terms: -2 + 12x = 1 + 8x Solving -2 + 12x = 1 + 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 + 12x + -8x = 1 + 8x + -8x Combine like terms: 12x + -8x = 4x -2 + 4x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + 4x = 1 + 0 -2 + 4x = 1 Add '2' to each side of the equation. -2 + 2 + 4x = 1 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = 1 + 2 4x = 1 + 2 Combine like terms: 1 + 2 = 3 4x = 3 Divide each side by '4'. x = 0.75 Simplifying x = 0.75
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