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Simplifying 8x + -13 = 7x + 12 Reorder the terms: -13 + 8x = 7x + 12 Reorder the terms: -13 + 8x = 12 + 7x Solving -13 + 8x = 12 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -13 + 8x + -7x = 12 + 7x + -7x Combine like terms: 8x + -7x = 1x -13 + 1x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 -13 + 1x = 12 + 0 -13 + 1x = 12 Add '13' to each side of the equation. -13 + 13 + 1x = 12 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = 12 + 13 1x = 12 + 13 Combine like terms: 12 + 13 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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