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Simplifying 14 + -5x + 9x = -2(-7x + 3) Combine like terms: -5x + 9x = 4x 14 + 4x = -2(-7x + 3) Reorder the terms: 14 + 4x = -2(3 + -7x) 14 + 4x = (3 * -2 + -7x * -2) 14 + 4x = (-6 + 14x) Solving 14 + 4x = -6 + 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. 14 + 4x + -14x = -6 + 14x + -14x Combine like terms: 4x + -14x = -10x 14 + -10x = -6 + 14x + -14x Combine like terms: 14x + -14x = 0 14 + -10x = -6 + 0 14 + -10x = -6 Add '-14' to each side of the equation. 14 + -14 + -10x = -6 + -14 Combine like terms: 14 + -14 = 0 0 + -10x = -6 + -14 -10x = -6 + -14 Combine like terms: -6 + -14 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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