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Simplifying 5x + 6 + -2x = 7 + 2x + -8 Reorder the terms: 6 + 5x + -2x = 7 + 2x + -8 Combine like terms: 5x + -2x = 3x 6 + 3x = 7 + 2x + -8 Reorder the terms: 6 + 3x = 7 + -8 + 2x Combine like terms: 7 + -8 = -1 6 + 3x = -1 + 2x Solving 6 + 3x = -1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + 3x + -2x = -1 + 2x + -2x Combine like terms: 3x + -2x = 1x 6 + 1x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 1x = -1 + 0 6 + 1x = -1 Add '-6' to each side of the equation. 6 + -6 + 1x = -1 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = -1 + -6 1x = -1 + -6 Combine like terms: -1 + -6 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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