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Simplifying 17x + -23 + 14x + 13 = 29x + -18 + -5x + 127 Reorder the terms: -23 + 13 + 17x + 14x = 29x + -18 + -5x + 127 Combine like terms: -23 + 13 = -10 -10 + 17x + 14x = 29x + -18 + -5x + 127 Combine like terms: 17x + 14x = 31x -10 + 31x = 29x + -18 + -5x + 127 Reorder the terms: -10 + 31x = -18 + 127 + 29x + -5x Combine like terms: -18 + 127 = 109 -10 + 31x = 109 + 29x + -5x Combine like terms: 29x + -5x = 24x -10 + 31x = 109 + 24x Solving -10 + 31x = 109 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -10 + 31x + -24x = 109 + 24x + -24x Combine like terms: 31x + -24x = 7x -10 + 7x = 109 + 24x + -24x Combine like terms: 24x + -24x = 0 -10 + 7x = 109 + 0 -10 + 7x = 109 Add '10' to each side of the equation. -10 + 10 + 7x = 109 + 10 Combine like terms: -10 + 10 = 0 0 + 7x = 109 + 10 7x = 109 + 10 Combine like terms: 109 + 10 = 119 7x = 119 Divide each side by '7'. x = 17 Simplifying x = 17
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