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Simplifying 7 + -8x + -2 = -78 + 6x + -15 Reorder the terms: 7 + -2 + -8x = -78 + 6x + -15 Combine like terms: 7 + -2 = 5 5 + -8x = -78 + 6x + -15 Reorder the terms: 5 + -8x = -78 + -15 + 6x Combine like terms: -78 + -15 = -93 5 + -8x = -93 + 6x Solving 5 + -8x = -93 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 5 + -8x + -6x = -93 + 6x + -6x Combine like terms: -8x + -6x = -14x 5 + -14x = -93 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + -14x = -93 + 0 5 + -14x = -93 Add '-5' to each side of the equation. 5 + -5 + -14x = -93 + -5 Combine like terms: 5 + -5 = 0 0 + -14x = -93 + -5 -14x = -93 + -5 Combine like terms: -93 + -5 = -98 -14x = -98 Divide each side by '-14'. x = 7 Simplifying x = 7
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