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Simplifying 5x + 6 + -4 = 8 + 2x + -7 Reorder the terms: 6 + -4 + 5x = 8 + 2x + -7 Combine like terms: 6 + -4 = 2 2 + 5x = 8 + 2x + -7 Reorder the terms: 2 + 5x = 8 + -7 + 2x Combine like terms: 8 + -7 = 1 2 + 5x = 1 + 2x Solving 2 + 5x = 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. 2 + 5x + -2x = 1 + 2x + -2x Combine like terms: 5x + -2x = 3x 2 + 3x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 3x = 1 + 0 2 + 3x = 1 Add '-2' to each side of the equation. 2 + -2 + 3x = 1 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 1 + -2 3x = 1 + -2 Combine like terms: 1 + -2 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333
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