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Simplifying 3x + 29 = 8x + -6 Reorder the terms: 29 + 3x = 8x + -6 Reorder the terms: 29 + 3x = -6 + 8x Solving 29 + 3x = -6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 29 + 3x + -8x = -6 + 8x + -8x Combine like terms: 3x + -8x = -5x 29 + -5x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 29 + -5x = -6 + 0 29 + -5x = -6 Add '-29' to each side of the equation. 29 + -29 + -5x = -6 + -29 Combine like terms: 29 + -29 = 0 0 + -5x = -6 + -29 -5x = -6 + -29 Combine like terms: -6 + -29 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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