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Simplifying 8 + -8x + -2 = -58 + 5x + -14 Reorder the terms: 8 + -2 + -8x = -58 + 5x + -14 Combine like terms: 8 + -2 = 6 6 + -8x = -58 + 5x + -14 Reorder the terms: 6 + -8x = -58 + -14 + 5x Combine like terms: -58 + -14 = -72 6 + -8x = -72 + 5x Solving 6 + -8x = -72 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + -8x + -5x = -72 + 5x + -5x Combine like terms: -8x + -5x = -13x 6 + -13x = -72 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -13x = -72 + 0 6 + -13x = -72 Add '-6' to each side of the equation. 6 + -6 + -13x = -72 + -6 Combine like terms: 6 + -6 = 0 0 + -13x = -72 + -6 -13x = -72 + -6 Combine like terms: -72 + -6 = -78 -13x = -78 Divide each side by '-13'. x = 6 Simplifying x = 6
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