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Simplifying 4 + -2x + 6 = 8 + -5x + 4 Reorder the terms: 4 + 6 + -2x = 8 + -5x + 4 Combine like terms: 4 + 6 = 10 10 + -2x = 8 + -5x + 4 Reorder the terms: 10 + -2x = 8 + 4 + -5x Combine like terms: 8 + 4 = 12 10 + -2x = 12 + -5x Solving 10 + -2x = 12 + -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. 10 + -2x + 5x = 12 + -5x + 5x Combine like terms: -2x + 5x = 3x 10 + 3x = 12 + -5x + 5x Combine like terms: -5x + 5x = 0 10 + 3x = 12 + 0 10 + 3x = 12 Add '-10' to each side of the equation. 10 + -10 + 3x = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 12 + -10 3x = 12 + -10 Combine like terms: 12 + -10 = 2 3x = 2 Divide each side by '3'. x = 0.6666666667 Simplifying x = 0.6666666667
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