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Simplifying x + 3 + x + 5 = x + 6 + 2x + 7 Reorder the terms: 3 + 5 + x + x = x + 6 + 2x + 7 Combine like terms: 3 + 5 = 8 8 + x + x = x + 6 + 2x + 7 Combine like terms: x + x = 2x 8 + 2x = x + 6 + 2x + 7 Reorder the terms: 8 + 2x = 6 + 7 + x + 2x Combine like terms: 6 + 7 = 13 8 + 2x = 13 + x + 2x Combine like terms: x + 2x = 3x 8 + 2x = 13 + 3x Solving 8 + 2x = 13 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 8 + 2x + -3x = 13 + 3x + -3x Combine like terms: 2x + -3x = -1x 8 + -1x = 13 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + -1x = 13 + 0 8 + -1x = 13 Add '-8' to each side of the equation. 8 + -8 + -1x = 13 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 13 + -8 -1x = 13 + -8 Combine like terms: 13 + -8 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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