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Simplifying 6x + -5 = -13 + 7x Reorder the terms: -5 + 6x = -13 + 7x Solving -5 + 6x = -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. -5 + 6x + -7x = -13 + 7x + -7x Combine like terms: 6x + -7x = -1x -5 + -1x = -13 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 + -1x = -13 + 0 -5 + -1x = -13 Add '5' to each side of the equation. -5 + 5 + -1x = -13 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = -13 + 5 -1x = -13 + 5 Combine like terms: -13 + 5 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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