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Simplifying 8x + 10 + -4 = 12 + -13x + -14 Reorder the terms: 10 + -4 + 8x = 12 + -13x + -14 Combine like terms: 10 + -4 = 6 6 + 8x = 12 + -13x + -14 Reorder the terms: 6 + 8x = 12 + -14 + -13x Combine like terms: 12 + -14 = -2 6 + 8x = -2 + -13x Solving 6 + 8x = -2 + -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. 6 + 8x + 13x = -2 + -13x + 13x Combine like terms: 8x + 13x = 21x 6 + 21x = -2 + -13x + 13x Combine like terms: -13x + 13x = 0 6 + 21x = -2 + 0 6 + 21x = -2 Add '-6' to each side of the equation. 6 + -6 + 21x = -2 + -6 Combine like terms: 6 + -6 = 0 0 + 21x = -2 + -6 21x = -2 + -6 Combine like terms: -2 + -6 = -8 21x = -8 Divide each side by '21'. x = -0.380952381 Simplifying x = -0.380952381
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