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Simplifying -6 = 22 + 10x + -7 + -13x Reorder the terms: -6 = 22 + -7 + 10x + -13x Combine like terms: 22 + -7 = 15 -6 = 15 + 10x + -13x Combine like terms: 10x + -13x = -3x -6 = 15 + -3x Solving -6 = 15 + -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. -6 + 3x = 15 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 3x = 15 + 0 -6 + 3x = 15 Add '6' to each side of the equation. -6 + 6 + 3x = 15 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 15 + 6 3x = 15 + 6 Combine like terms: 15 + 6 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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