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Simplifying 1 + -1(5x + 3) = 13 + -8x Reorder the terms: 1 + -1(3 + 5x) = 13 + -8x 1 + (3 * -1 + 5x * -1) = 13 + -8x 1 + (-3 + -5x) = 13 + -8x Combine like terms: 1 + -3 = -2 -2 + -5x = 13 + -8x Solving -2 + -5x = 13 + -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 + -5x + 8x = 13 + -8x + 8x Combine like terms: -5x + 8x = 3x -2 + 3x = 13 + -8x + 8x Combine like terms: -8x + 8x = 0 -2 + 3x = 13 + 0 -2 + 3x = 13 Add '2' to each side of the equation. -2 + 2 + 3x = 13 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 13 + 2 3x = 13 + 2 Combine like terms: 13 + 2 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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