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Simplifying 2 + 12x + -9 = 7(2x + 1) + -14 Reorder the terms: 2 + -9 + 12x = 7(2x + 1) + -14 Combine like terms: 2 + -9 = -7 -7 + 12x = 7(2x + 1) + -14 Reorder the terms: -7 + 12x = 7(1 + 2x) + -14 -7 + 12x = (1 * 7 + 2x * 7) + -14 -7 + 12x = (7 + 14x) + -14 Reorder the terms: -7 + 12x = 7 + -14 + 14x Combine like terms: 7 + -14 = -7 -7 + 12x = -7 + 14x Add '7' to each side of the equation. -7 + 7 + 12x = -7 + 7 + 14x Combine like terms: -7 + 7 = 0 0 + 12x = -7 + 7 + 14x 12x = -7 + 7 + 14x Combine like terms: -7 + 7 = 0 12x = 0 + 14x 12x = 14x Solving 12x = 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 12x + -14x = 14x + -14x Combine like terms: 12x + -14x = -2x -2x = 14x + -14x Combine like terms: 14x + -14x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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