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