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