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Simplifying 7x + 12 = -2x + -13 Reorder the terms: 12 + 7x = -2x + -13 Reorder the terms: 12 + 7x = -13 + -2x Solving 12 + 7x = -13 + -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 + 7x + 2x = -13 + -2x + 2x Combine like terms: 7x + 2x = 9x 12 + 9x = -13 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 9x = -13 + 0 12 + 9x = -13 Add '-12' to each side of the equation. 12 + -12 + 9x = -13 + -12 Combine like terms: 12 + -12 = 0 0 + 9x = -13 + -12 9x = -13 + -12 Combine like terms: -13 + -12 = -25 9x = -25 Divide each side by '9'. x = -2.777777778 Simplifying x = -2.777777778
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