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Simplifying 14 + -7x + 11x = -2(-9x + 7) Combine like terms: -7x + 11x = 4x 14 + 4x = -2(-9x + 7) Reorder the terms: 14 + 4x = -2(7 + -9x) 14 + 4x = (7 * -2 + -9x * -2) 14 + 4x = (-14 + 18x) Solving 14 + 4x = -14 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 14 + 4x + -18x = -14 + 18x + -18x Combine like terms: 4x + -18x = -14x 14 + -14x = -14 + 18x + -18x Combine like terms: 18x + -18x = 0 14 + -14x = -14 + 0 14 + -14x = -14 Add '-14' to each side of the equation. 14 + -14 + -14x = -14 + -14 Combine like terms: 14 + -14 = 0 0 + -14x = -14 + -14 -14x = -14 + -14 Combine like terms: -14 + -14 = -28 -14x = -28 Divide each side by '-14'. x = 2 Simplifying x = 2
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