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Simplifying 9x + -5(x + -2) = 5(6x + 2) Reorder the terms: 9x + -5(-2 + x) = 5(6x + 2) 9x + (-2 * -5 + x * -5) = 5(6x + 2) 9x + (10 + -5x) = 5(6x + 2) Reorder the terms: 10 + 9x + -5x = 5(6x + 2) Combine like terms: 9x + -5x = 4x 10 + 4x = 5(6x + 2) Reorder the terms: 10 + 4x = 5(2 + 6x) 10 + 4x = (2 * 5 + 6x * 5) 10 + 4x = (10 + 30x) Add '-10' to each side of the equation. 10 + -10 + 4x = 10 + -10 + 30x Combine like terms: 10 + -10 = 0 0 + 4x = 10 + -10 + 30x 4x = 10 + -10 + 30x Combine like terms: 10 + -10 = 0 4x = 0 + 30x 4x = 30x Solving 4x = 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 4x + -30x = 30x + -30x Combine like terms: 4x + -30x = -26x -26x = 30x + -30x Combine like terms: 30x + -30x = 0 -26x = 0 Divide each side by '-26'. x = 0 Simplifying x = 0
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