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