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Simplifying 6 + 17x = 18x + 18 + -5x Reorder the terms: 6 + 17x = 18 + 18x + -5x Combine like terms: 18x + -5x = 13x 6 + 17x = 18 + 13x Solving 6 + 17x = 18 + 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. 6 + 17x + -13x = 18 + 13x + -13x Combine like terms: 17x + -13x = 4x 6 + 4x = 18 + 13x + -13x Combine like terms: 13x + -13x = 0 6 + 4x = 18 + 0 6 + 4x = 18 Add '-6' to each side of the equation. 6 + -6 + 4x = 18 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 18 + -6 4x = 18 + -6 Combine like terms: 18 + -6 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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