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Simplifying 5x + -8 = 12x + 13 Reorder the terms: -8 + 5x = 12x + 13 Reorder the terms: -8 + 5x = 13 + 12x Solving -8 + 5x = 13 + 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. -8 + 5x + -12x = 13 + 12x + -12x Combine like terms: 5x + -12x = -7x -8 + -7x = 13 + 12x + -12x Combine like terms: 12x + -12x = 0 -8 + -7x = 13 + 0 -8 + -7x = 13 Add '8' to each side of the equation. -8 + 8 + -7x = 13 + 8 Combine like terms: -8 + 8 = 0 0 + -7x = 13 + 8 -7x = 13 + 8 Combine like terms: 13 + 8 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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