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Simplifying 9x + 2(-2x + -6) = 2 + -9x Reorder the terms: 9x + 2(-6 + -2x) = 2 + -9x 9x + (-6 * 2 + -2x * 2) = 2 + -9x 9x + (-12 + -4x) = 2 + -9x Reorder the terms: -12 + 9x + -4x = 2 + -9x Combine like terms: 9x + -4x = 5x -12 + 5x = 2 + -9x Solving -12 + 5x = 2 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -12 + 5x + 9x = 2 + -9x + 9x Combine like terms: 5x + 9x = 14x -12 + 14x = 2 + -9x + 9x Combine like terms: -9x + 9x = 0 -12 + 14x = 2 + 0 -12 + 14x = 2 Add '12' to each side of the equation. -12 + 12 + 14x = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 14x = 2 + 12 14x = 2 + 12 Combine like terms: 2 + 12 = 14 14x = 14 Divide each side by '14'. x = 1 Simplifying x = 1
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