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Simplifying 8x + 7 + -2x = 5 + 5x + -6 Reorder the terms: 7 + 8x + -2x = 5 + 5x + -6 Combine like terms: 8x + -2x = 6x 7 + 6x = 5 + 5x + -6 Reorder the terms: 7 + 6x = 5 + -6 + 5x Combine like terms: 5 + -6 = -1 7 + 6x = -1 + 5x Solving 7 + 6x = -1 + 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. 7 + 6x + -5x = -1 + 5x + -5x Combine like terms: 6x + -5x = 1x 7 + 1x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + 1x = -1 + 0 7 + 1x = -1 Add '-7' to each side of the equation. 7 + -7 + 1x = -1 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = -1 + -7 1x = -1 + -7 Combine like terms: -1 + -7 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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