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Simplifying 13x + 7 = 17x + -5 Reorder the terms: 7 + 13x = 17x + -5 Reorder the terms: 7 + 13x = -5 + 17x Solving 7 + 13x = -5 + 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. 7 + 13x + -17x = -5 + 17x + -17x Combine like terms: 13x + -17x = -4x 7 + -4x = -5 + 17x + -17x Combine like terms: 17x + -17x = 0 7 + -4x = -5 + 0 7 + -4x = -5 Add '-7' to each side of the equation. 7 + -7 + -4x = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = -5 + -7 -4x = -5 + -7 Combine like terms: -5 + -7 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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