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Simplifying 5x + -13 = 7x + 12 Reorder the terms: -13 + 5x = 7x + 12 Reorder the terms: -13 + 5x = 12 + 7x Solving -13 + 5x = 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 + 5x + -7x = 12 + 7x + -7x Combine like terms: 5x + -7x = -2x -13 + -2x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 -13 + -2x = 12 + 0 -13 + -2x = 12 Add '13' to each side of the equation. -13 + 13 + -2x = 12 + 13 Combine like terms: -13 + 13 = 0 0 + -2x = 12 + 13 -2x = 12 + 13 Combine like terms: 12 + 13 = 25 -2x = 25 Divide each side by '-2'. x = -12.5 Simplifying x = -12.5
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