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Simplifying 17x + 2 + -13 = 18x + 28 + 12x Reorder the terms: 2 + -13 + 17x = 18x + 28 + 12x Combine like terms: 2 + -13 = -11 -11 + 17x = 18x + 28 + 12x Reorder the terms: -11 + 17x = 28 + 18x + 12x Combine like terms: 18x + 12x = 30x -11 + 17x = 28 + 30x Solving -11 + 17x = 28 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -11 + 17x + -30x = 28 + 30x + -30x Combine like terms: 17x + -30x = -13x -11 + -13x = 28 + 30x + -30x Combine like terms: 30x + -30x = 0 -11 + -13x = 28 + 0 -11 + -13x = 28 Add '11' to each side of the equation. -11 + 11 + -13x = 28 + 11 Combine like terms: -11 + 11 = 0 0 + -13x = 28 + 11 -13x = 28 + 11 Combine like terms: 28 + 11 = 39 -13x = 39 Divide each side by '-13'. x = -3 Simplifying x = -3
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