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Simplifying 12x + 13 = -10x + 5 Reorder the terms: 13 + 12x = -10x + 5 Reorder the terms: 13 + 12x = 5 + -10x Solving 13 + 12x = 5 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 13 + 12x + 10x = 5 + -10x + 10x Combine like terms: 12x + 10x = 22x 13 + 22x = 5 + -10x + 10x Combine like terms: -10x + 10x = 0 13 + 22x = 5 + 0 13 + 22x = 5 Add '-13' to each side of the equation. 13 + -13 + 22x = 5 + -13 Combine like terms: 13 + -13 = 0 0 + 22x = 5 + -13 22x = 5 + -13 Combine like terms: 5 + -13 = -8 22x = -8 Divide each side by '22'. x = -0.3636363636 Simplifying x = -0.3636363636
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