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Simplifying 5x + 12 = -2x + -7 + 12 Reorder the terms: 12 + 5x = -2x + -7 + 12 Reorder the terms: 12 + 5x = -7 + 12 + -2x Combine like terms: -7 + 12 = 5 12 + 5x = 5 + -2x Solving 12 + 5x = 5 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 12 + 5x + 2x = 5 + -2x + 2x Combine like terms: 5x + 2x = 7x 12 + 7x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 7x = 5 + 0 12 + 7x = 5 Add '-12' to each side of the equation. 12 + -12 + 7x = 5 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = 5 + -12 7x = 5 + -12 Combine like terms: 5 + -12 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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