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Simplifying 3x + -9 + x + 29 = 8x + 20 + -6x Reorder the terms: -9 + 29 + 3x + x = 8x + 20 + -6x Combine like terms: -9 + 29 = 20 20 + 3x + x = 8x + 20 + -6x Combine like terms: 3x + x = 4x 20 + 4x = 8x + 20 + -6x Reorder the terms: 20 + 4x = 20 + 8x + -6x Combine like terms: 8x + -6x = 2x 20 + 4x = 20 + 2x Add '-20' to each side of the equation. 20 + -20 + 4x = 20 + -20 + 2x Combine like terms: 20 + -20 = 0 0 + 4x = 20 + -20 + 2x 4x = 20 + -20 + 2x Combine like terms: 20 + -20 = 0 4x = 0 + 2x 4x = 2x Solving 4x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4x + -2x = 2x + -2x Combine like terms: 4x + -2x = 2x 2x = 2x + -2x Combine like terms: 2x + -2x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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