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Simplifying 13x + x + 17 = 18x + 1 Reorder the terms: 17 + 13x + x = 18x + 1 Combine like terms: 13x + x = 14x 17 + 14x = 18x + 1 Reorder the terms: 17 + 14x = 1 + 18x Solving 17 + 14x = 1 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 17 + 14x + -18x = 1 + 18x + -18x Combine like terms: 14x + -18x = -4x 17 + -4x = 1 + 18x + -18x Combine like terms: 18x + -18x = 0 17 + -4x = 1 + 0 17 + -4x = 1 Add '-17' to each side of the equation. 17 + -17 + -4x = 1 + -17 Combine like terms: 17 + -17 = 0 0 + -4x = 1 + -17 -4x = 1 + -17 Combine like terms: 1 + -17 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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