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Simplifying 6x + 13x + -9 = 15 + -17x + 14x + -2 Reorder the terms: -9 + 6x + 13x = 15 + -17x + 14x + -2 Combine like terms: 6x + 13x = 19x -9 + 19x = 15 + -17x + 14x + -2 Reorder the terms: -9 + 19x = 15 + -2 + -17x + 14x Combine like terms: 15 + -2 = 13 -9 + 19x = 13 + -17x + 14x Combine like terms: -17x + 14x = -3x -9 + 19x = 13 + -3x Solving -9 + 19x = 13 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -9 + 19x + 3x = 13 + -3x + 3x Combine like terms: 19x + 3x = 22x -9 + 22x = 13 + -3x + 3x Combine like terms: -3x + 3x = 0 -9 + 22x = 13 + 0 -9 + 22x = 13 Add '9' to each side of the equation. -9 + 9 + 22x = 13 + 9 Combine like terms: -9 + 9 = 0 0 + 22x = 13 + 9 22x = 13 + 9 Combine like terms: 13 + 9 = 22 22x = 22 Divide each side by '22'. x = 1 Simplifying x = 1
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