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Simplifying 3x + 5x + -10 = 10x + 5x + 10 + -20 Reorder the terms: -10 + 3x + 5x = 10x + 5x + 10 + -20 Combine like terms: 3x + 5x = 8x -10 + 8x = 10x + 5x + 10 + -20 Reorder the terms: -10 + 8x = 10 + -20 + 10x + 5x Combine like terms: 10 + -20 = -10 -10 + 8x = -10 + 10x + 5x Combine like terms: 10x + 5x = 15x -10 + 8x = -10 + 15x Add '10' to each side of the equation. -10 + 10 + 8x = -10 + 10 + 15x Combine like terms: -10 + 10 = 0 0 + 8x = -10 + 10 + 15x 8x = -10 + 10 + 15x Combine like terms: -10 + 10 = 0 8x = 0 + 15x 8x = 15x Solving 8x = 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 8x + -15x = 15x + -15x Combine like terms: 8x + -15x = -7x -7x = 15x + -15x Combine like terms: 15x + -15x = 0 -7x = 0 Divide each side by '-7'. x = 0 Simplifying x = 0
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