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Simplifying -5x + 13 = -12x + 10 Reorder the terms: 13 + -5x = -12x + 10 Reorder the terms: 13 + -5x = 10 + -12x Solving 13 + -5x = 10 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 13 + -5x + 12x = 10 + -12x + 12x Combine like terms: -5x + 12x = 7x 13 + 7x = 10 + -12x + 12x Combine like terms: -12x + 12x = 0 13 + 7x = 10 + 0 13 + 7x = 10 Add '-13' to each side of the equation. 13 + -13 + 7x = 10 + -13 Combine like terms: 13 + -13 = 0 0 + 7x = 10 + -13 7x = 10 + -13 Combine like terms: 10 + -13 = -3 7x = -3 Divide each side by '7'. x = -0.4285714286 Simplifying x = -0.4285714286
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