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Simplifying 17x + 13 = 4x + 52 Reorder the terms: 13 + 17x = 4x + 52 Reorder the terms: 13 + 17x = 52 + 4x Solving 13 + 17x = 52 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 13 + 17x + -4x = 52 + 4x + -4x Combine like terms: 17x + -4x = 13x 13 + 13x = 52 + 4x + -4x Combine like terms: 4x + -4x = 0 13 + 13x = 52 + 0 13 + 13x = 52 Add '-13' to each side of the equation. 13 + -13 + 13x = 52 + -13 Combine like terms: 13 + -13 = 0 0 + 13x = 52 + -13 13x = 52 + -13 Combine like terms: 52 + -13 = 39 13x = 39 Divide each side by '13'. x = 3 Simplifying x = 3
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