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Simplifying 2x + -5 = 9 + -2[6x + -7] Reorder the terms: -5 + 2x = 9 + -2[6x + -7] Reorder the terms: -5 + 2x = 9 + -2[-7 + 6x] -5 + 2x = 9 + [-7 * -2 + 6x * -2] -5 + 2x = 9 + [14 + -12x] Combine like terms: 9 + 14 = 23 -5 + 2x = 23 + -12x Solving -5 + 2x = 23 + -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. -5 + 2x + 12x = 23 + -12x + 12x Combine like terms: 2x + 12x = 14x -5 + 14x = 23 + -12x + 12x Combine like terms: -12x + 12x = 0 -5 + 14x = 23 + 0 -5 + 14x = 23 Add '5' to each side of the equation. -5 + 5 + 14x = 23 + 5 Combine like terms: -5 + 5 = 0 0 + 14x = 23 + 5 14x = 23 + 5 Combine like terms: 23 + 5 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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