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Simplifying 2(5x + -3) + -3(2x + -3) = 11 Reorder the terms: 2(-3 + 5x) + -3(2x + -3) = 11 (-3 * 2 + 5x * 2) + -3(2x + -3) = 11 (-6 + 10x) + -3(2x + -3) = 11 Reorder the terms: -6 + 10x + -3(-3 + 2x) = 11 -6 + 10x + (-3 * -3 + 2x * -3) = 11 -6 + 10x + (9 + -6x) = 11 Reorder the terms: -6 + 9 + 10x + -6x = 11 Combine like terms: -6 + 9 = 3 3 + 10x + -6x = 11 Combine like terms: 10x + -6x = 4x 3 + 4x = 11 Solving 3 + 4x = 11 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 = 11 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 11 + -3 4x = 11 + -3 Combine like terms: 11 + -3 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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