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Simplifying 10x + 29 = 6x + 17 Reorder the terms: 29 + 10x = 6x + 17 Reorder the terms: 29 + 10x = 17 + 6x Solving 29 + 10x = 17 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 29 + 10x + -6x = 17 + 6x + -6x Combine like terms: 10x + -6x = 4x 29 + 4x = 17 + 6x + -6x Combine like terms: 6x + -6x = 0 29 + 4x = 17 + 0 29 + 4x = 17 Add '-29' to each side of the equation. 29 + -29 + 4x = 17 + -29 Combine like terms: 29 + -29 = 0 0 + 4x = 17 + -29 4x = 17 + -29 Combine like terms: 17 + -29 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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