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Simplifying 6x + -4x + 17 = x + 29 Reorder the terms: 17 + 6x + -4x = x + 29 Combine like terms: 6x + -4x = 2x 17 + 2x = x + 29 Reorder the terms: 17 + 2x = 29 + x Solving 17 + 2x = 29 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 17 + 2x + -1x = 29 + x + -1x Combine like terms: 2x + -1x = 1x 17 + 1x = 29 + x + -1x Combine like terms: x + -1x = 0 17 + 1x = 29 + 0 17 + 1x = 29 Add '-17' to each side of the equation. 17 + -17 + 1x = 29 + -17 Combine like terms: 17 + -17 = 0 0 + 1x = 29 + -17 1x = 29 + -17 Combine like terms: 29 + -17 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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