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Simplifying 8x + -13 = -1(13x + 21) Reorder the terms: -13 + 8x = -1(13x + 21) Reorder the terms: -13 + 8x = -1(21 + 13x) -13 + 8x = (21 * -1 + 13x * -1) -13 + 8x = (-21 + -13x) Solving -13 + 8x = -21 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. -13 + 8x + 13x = -21 + -13x + 13x Combine like terms: 8x + 13x = 21x -13 + 21x = -21 + -13x + 13x Combine like terms: -13x + 13x = 0 -13 + 21x = -21 + 0 -13 + 21x = -21 Add '13' to each side of the equation. -13 + 13 + 21x = -21 + 13 Combine like terms: -13 + 13 = 0 0 + 21x = -21 + 13 21x = -21 + 13 Combine like terms: -21 + 13 = -8 21x = -8 Divide each side by '21'. x = -0.380952381 Simplifying x = -0.380952381
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