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Simplifying 3x + -7x + 17 = 2x + 29 Reorder the terms: 17 + 3x + -7x = 2x + 29 Combine like terms: 3x + -7x = -4x 17 + -4x = 2x + 29 Reorder the terms: 17 + -4x = 29 + 2x Solving 17 + -4x = 29 + 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. 17 + -4x + -2x = 29 + 2x + -2x Combine like terms: -4x + -2x = -6x 17 + -6x = 29 + 2x + -2x Combine like terms: 2x + -2x = 0 17 + -6x = 29 + 0 17 + -6x = 29 Add '-17' to each side of the equation. 17 + -17 + -6x = 29 + -17 Combine like terms: 17 + -17 = 0 0 + -6x = 29 + -17 -6x = 29 + -17 Combine like terms: 29 + -17 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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