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Simplifying 117 = 13x + 52 Reorder the terms: 117 = 52 + 13x Solving 117 = 52 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 117 + -13x = 52 + 13x + -13x Combine like terms: 13x + -13x = 0 117 + -13x = 52 + 0 117 + -13x = 52 Add '-117' to each side of the equation. 117 + -117 + -13x = 52 + -117 Combine like terms: 117 + -117 = 0 0 + -13x = 52 + -117 -13x = 52 + -117 Combine like terms: 52 + -117 = -65 -13x = -65 Divide each side by '-13'. x = 5 Simplifying x = 5
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