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Simplifying 5x + 29(x + -3) = 117 Reorder the terms: 5x + 29(-3 + x) = 117 5x + (-3 * 29 + x * 29) = 117 5x + (-87 + 29x) = 117 Reorder the terms: -87 + 5x + 29x = 117 Combine like terms: 5x + 29x = 34x -87 + 34x = 117 Solving -87 + 34x = 117 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '87' to each side of the equation. -87 + 87 + 34x = 117 + 87 Combine like terms: -87 + 87 = 0 0 + 34x = 117 + 87 34x = 117 + 87 Combine like terms: 117 + 87 = 204 34x = 204 Divide each side by '34'. x = 6 Simplifying x = 6
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