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Simplifying 6 + -2x + -6 + 8 = 5x + 13 Reorder the terms: 6 + -6 + 8 + -2x = 5x + 13 Combine like terms: 6 + -6 = 0 0 + 8 + -2x = 5x + 13 8 + -2x = 5x + 13 Reorder the terms: 8 + -2x = 13 + 5x Solving 8 + -2x = 13 + 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. 8 + -2x + -5x = 13 + 5x + -5x Combine like terms: -2x + -5x = -7x 8 + -7x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -7x = 13 + 0 8 + -7x = 13 Add '-8' to each side of the equation. 8 + -8 + -7x = 13 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = 13 + -8 -7x = 13 + -8 Combine like terms: 13 + -8 = 5 -7x = 5 Divide each side by '-7'. x = -0.7142857143 Simplifying x = -0.7142857143
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