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Simplifying 6x + 5 + -7x = 10 + -5x + 3 Reorder the terms: 5 + 6x + -7x = 10 + -5x + 3 Combine like terms: 6x + -7x = -1x 5 + -1x = 10 + -5x + 3 Reorder the terms: 5 + -1x = 10 + 3 + -5x Combine like terms: 10 + 3 = 13 5 + -1x = 13 + -5x Solving 5 + -1x = 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. 5 + -1x + 5x = 13 + -5x + 5x Combine like terms: -1x + 5x = 4x 5 + 4x = 13 + -5x + 5x Combine like terms: -5x + 5x = 0 5 + 4x = 13 + 0 5 + 4x = 13 Add '-5' to each side of the equation. 5 + -5 + 4x = 13 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 13 + -5 4x = 13 + -5 Combine like terms: 13 + -5 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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