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Simplifying 5(2x + -1) + 6 = 5(x + 2) + -9 Reorder the terms: 5(-1 + 2x) + 6 = 5(x + 2) + -9 (-1 * 5 + 2x * 5) + 6 = 5(x + 2) + -9 (-5 + 10x) + 6 = 5(x + 2) + -9 Reorder the terms: -5 + 6 + 10x = 5(x + 2) + -9 Combine like terms: -5 + 6 = 1 1 + 10x = 5(x + 2) + -9 Reorder the terms: 1 + 10x = 5(2 + x) + -9 1 + 10x = (2 * 5 + x * 5) + -9 1 + 10x = (10 + 5x) + -9 Reorder the terms: 1 + 10x = 10 + -9 + 5x Combine like terms: 10 + -9 = 1 1 + 10x = 1 + 5x Add '-1' to each side of the equation. 1 + -1 + 10x = 1 + -1 + 5x Combine like terms: 1 + -1 = 0 0 + 10x = 1 + -1 + 5x 10x = 1 + -1 + 5x Combine like terms: 1 + -1 = 0 10x = 0 + 5x 10x = 5x Solving 10x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 10x + -5x = 5x + -5x Combine like terms: 10x + -5x = 5x 5x = 5x + -5x Combine like terms: 5x + -5x = 0 5x = 0 Divide each side by '5'. x = 0 Simplifying x = 0
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