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Simplifying 10x + -6 = 7x + 13 Reorder the terms: -6 + 10x = 7x + 13 Reorder the terms: -6 + 10x = 13 + 7x Solving -6 + 10x = 13 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -6 + 10x + -7x = 13 + 7x + -7x Combine like terms: 10x + -7x = 3x -6 + 3x = 13 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + 3x = 13 + 0 -6 + 3x = 13 Add '6' to each side of the equation. -6 + 6 + 3x = 13 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 13 + 6 3x = 13 + 6 Combine like terms: 13 + 6 = 19 3x = 19 Divide each side by '3'. x = 6.333333333 Simplifying x = 6.333333333
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