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Simplifying 2(5x + -3) + -3(2x + -1) = 9 Reorder the terms: 2(-3 + 5x) + -3(2x + -1) = 9 (-3 * 2 + 5x * 2) + -3(2x + -1) = 9 (-6 + 10x) + -3(2x + -1) = 9 Reorder the terms: -6 + 10x + -3(-1 + 2x) = 9 -6 + 10x + (-1 * -3 + 2x * -3) = 9 -6 + 10x + (3 + -6x) = 9 Reorder the terms: -6 + 3 + 10x + -6x = 9 Combine like terms: -6 + 3 = -3 -3 + 10x + -6x = 9 Combine like terms: 10x + -6x = 4x -3 + 4x = 9 Solving -3 + 4x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 4x = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = 9 + 3 4x = 9 + 3 Combine like terms: 9 + 3 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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