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Simplifying 13x + -1(x + 4) = 8x + 1 Reorder the terms: 13x + -1(4 + x) = 8x + 1 13x + (4 * -1 + x * -1) = 8x + 1 13x + (-4 + -1x) = 8x + 1 Reorder the terms: -4 + 13x + -1x = 8x + 1 Combine like terms: 13x + -1x = 12x -4 + 12x = 8x + 1 Reorder the terms: -4 + 12x = 1 + 8x Solving -4 + 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. -4 + 12x + -8x = 1 + 8x + -8x Combine like terms: 12x + -8x = 4x -4 + 4x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + 4x = 1 + 0 -4 + 4x = 1 Add '4' to each side of the equation. -4 + 4 + 4x = 1 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = 1 + 4 4x = 1 + 4 Combine like terms: 1 + 4 = 5 4x = 5 Divide each side by '4'. x = 1.25 Simplifying x = 1.25
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