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Simplifying -4 + 13x + 9 = 14 + 17x + -29 Reorder the terms: -4 + 9 + 13x = 14 + 17x + -29 Combine like terms: -4 + 9 = 5 5 + 13x = 14 + 17x + -29 Reorder the terms: 5 + 13x = 14 + -29 + 17x Combine like terms: 14 + -29 = -15 5 + 13x = -15 + 17x Solving 5 + 13x = -15 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 5 + 13x + -17x = -15 + 17x + -17x Combine like terms: 13x + -17x = -4x 5 + -4x = -15 + 17x + -17x Combine like terms: 17x + -17x = 0 5 + -4x = -15 + 0 5 + -4x = -15 Add '-5' to each side of the equation. 5 + -5 + -4x = -15 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = -15 + -5 -4x = -15 + -5 Combine like terms: -15 + -5 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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