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Simplifying 18x + 13 = 14x + 17 Reorder the terms: 13 + 18x = 14x + 17 Reorder the terms: 13 + 18x = 17 + 14x Solving 13 + 18x = 17 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 13 + 18x + -14x = 17 + 14x + -14x Combine like terms: 18x + -14x = 4x 13 + 4x = 17 + 14x + -14x Combine like terms: 14x + -14x = 0 13 + 4x = 17 + 0 13 + 4x = 17 Add '-13' to each side of the equation. 13 + -13 + 4x = 17 + -13 Combine like terms: 13 + -13 = 0 0 + 4x = 17 + -13 4x = 17 + -13 Combine like terms: 17 + -13 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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