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Simplifying -2(x + 7) + -9 = 5x + 12 Reorder the terms: -2(7 + x) + -9 = 5x + 12 (7 * -2 + x * -2) + -9 = 5x + 12 (-14 + -2x) + -9 = 5x + 12 Reorder the terms: -14 + -9 + -2x = 5x + 12 Combine like terms: -14 + -9 = -23 -23 + -2x = 5x + 12 Reorder the terms: -23 + -2x = 12 + 5x Solving -23 + -2x = 12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -23 + -2x + -5x = 12 + 5x + -5x Combine like terms: -2x + -5x = -7x -23 + -7x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -23 + -7x = 12 + 0 -23 + -7x = 12 Add '23' to each side of the equation. -23 + 23 + -7x = 12 + 23 Combine like terms: -23 + 23 = 0 0 + -7x = 12 + 23 -7x = 12 + 23 Combine like terms: 12 + 23 = 35 -7x = 35 Divide each side by '-7'. x = -5 Simplifying x = -5
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