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Simplifying 7x + -2 + 3x = 13x + -5 + 12 Reorder the terms: -2 + 7x + 3x = 13x + -5 + 12 Combine like terms: 7x + 3x = 10x -2 + 10x = 13x + -5 + 12 Reorder the terms: -2 + 10x = -5 + 12 + 13x Combine like terms: -5 + 12 = 7 -2 + 10x = 7 + 13x Solving -2 + 10x = 7 + 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. -2 + 10x + -13x = 7 + 13x + -13x Combine like terms: 10x + -13x = -3x -2 + -3x = 7 + 13x + -13x Combine like terms: 13x + -13x = 0 -2 + -3x = 7 + 0 -2 + -3x = 7 Add '2' to each side of the equation. -2 + 2 + -3x = 7 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 7 + 2 -3x = 7 + 2 Combine like terms: 7 + 2 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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