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Simplifying 2(5x + (-3)) = 9x + 7 2(5x + -3) = 9x + 7 Reorder the terms: 2(-3 + 5x) = 9x + 7 (-3 * 2 + 5x * 2) = 9x + 7 (-6 + 10x) = 9x + 7 Reorder the terms: -6 + 10x = 7 + 9x Solving -6 + 10x = 7 + 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. -6 + 10x + -9x = 7 + 9x + -9x Combine like terms: 10x + -9x = 1x -6 + 1x = 7 + 9x + -9x Combine like terms: 9x + -9x = 0 -6 + 1x = 7 + 0 -6 + 1x = 7 Add '6' to each side of the equation. -6 + 6 + 1x = 7 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 7 + 6 1x = 7 + 6 Combine like terms: 7 + 6 = 13 1x = 13 Divide each side by '1'. x = 13 Simplifying x = 13
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