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Simplifying -4x + -13 = 8x + 21 Reorder the terms: -13 + -4x = 8x + 21 Reorder the terms: -13 + -4x = 21 + 8x Solving -13 + -4x = 21 + 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. -13 + -4x + -8x = 21 + 8x + -8x Combine like terms: -4x + -8x = -12x -13 + -12x = 21 + 8x + -8x Combine like terms: 8x + -8x = 0 -13 + -12x = 21 + 0 -13 + -12x = 21 Add '13' to each side of the equation. -13 + 13 + -12x = 21 + 13 Combine like terms: -13 + 13 = 0 0 + -12x = 21 + 13 -12x = 21 + 13 Combine like terms: 21 + 13 = 34 -12x = 34 Divide each side by '-12'. x = -2.833333333 Simplifying x = -2.833333333
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