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Simplifying 5x + 7x + -13 = 2x + -5 Reorder the terms: -13 + 5x + 7x = 2x + -5 Combine like terms: 5x + 7x = 12x -13 + 12x = 2x + -5 Reorder the terms: -13 + 12x = -5 + 2x Solving -13 + 12x = -5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -13 + 12x + -2x = -5 + 2x + -2x Combine like terms: 12x + -2x = 10x -13 + 10x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 -13 + 10x = -5 + 0 -13 + 10x = -5 Add '13' to each side of the equation. -13 + 13 + 10x = -5 + 13 Combine like terms: -13 + 13 = 0 0 + 10x = -5 + 13 10x = -5 + 13 Combine like terms: -5 + 13 = 8 10x = 8 Divide each side by '10'. x = 0.8 Simplifying x = 0.8
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