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Simplifying 6 + -2(2x + -7) = 9x + -6 Reorder the terms: 6 + -2(-7 + 2x) = 9x + -6 6 + (-7 * -2 + 2x * -2) = 9x + -6 6 + (14 + -4x) = 9x + -6 Combine like terms: 6 + 14 = 20 20 + -4x = 9x + -6 Reorder the terms: 20 + -4x = -6 + 9x Solving 20 + -4x = -6 + 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. 20 + -4x + -9x = -6 + 9x + -9x Combine like terms: -4x + -9x = -13x 20 + -13x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 20 + -13x = -6 + 0 20 + -13x = -6 Add '-20' to each side of the equation. 20 + -20 + -13x = -6 + -20 Combine like terms: 20 + -20 = 0 0 + -13x = -6 + -20 -13x = -6 + -20 Combine like terms: -6 + -20 = -26 -13x = -26 Divide each side by '-13'. x = 2 Simplifying x = 2
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