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Simplifying 5x + 78 = 12x + -13 Reorder the terms: 78 + 5x = 12x + -13 Reorder the terms: 78 + 5x = -13 + 12x Solving 78 + 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. 78 + 5x + -12x = -13 + 12x + -12x Combine like terms: 5x + -12x = -7x 78 + -7x = -13 + 12x + -12x Combine like terms: 12x + -12x = 0 78 + -7x = -13 + 0 78 + -7x = -13 Add '-78' to each side of the equation. 78 + -78 + -7x = -13 + -78 Combine like terms: 78 + -78 = 0 0 + -7x = -13 + -78 -7x = -13 + -78 Combine like terms: -13 + -78 = -91 -7x = -91 Divide each side by '-7'. x = 13 Simplifying x = 13
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