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Simplifying 4x + 13 = -8x + -16 Reorder the terms: 13 + 4x = -8x + -16 Reorder the terms: 13 + 4x = -16 + -8x Solving 13 + 4x = -16 + -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 = -16 + -8x + 8x Combine like terms: 4x + 8x = 12x 13 + 12x = -16 + -8x + 8x Combine like terms: -8x + 8x = 0 13 + 12x = -16 + 0 13 + 12x = -16 Add '-13' to each side of the equation. 13 + -13 + 12x = -16 + -13 Combine like terms: 13 + -13 = 0 0 + 12x = -16 + -13 12x = -16 + -13 Combine like terms: -16 + -13 = -29 12x = -29 Divide each side by '12'. x = -2.416666667 Simplifying x = -2.416666667
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