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Simplifying 5x + 71 = 12x + -13 Reorder the terms: 71 + 5x = 12x + -13 Reorder the terms: 71 + 5x = -13 + 12x Solving 71 + 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. 71 + 5x + -12x = -13 + 12x + -12x Combine like terms: 5x + -12x = -7x 71 + -7x = -13 + 12x + -12x Combine like terms: 12x + -12x = 0 71 + -7x = -13 + 0 71 + -7x = -13 Add '-71' to each side of the equation. 71 + -71 + -7x = -13 + -71 Combine like terms: 71 + -71 = 0 0 + -7x = -13 + -71 -7x = -13 + -71 Combine like terms: -13 + -71 = -84 -7x = -84 Divide each side by '-7'. x = 12 Simplifying x = 12
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