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