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Simplifying 5(2x + -3) + 4(5 + -2x) = 9 Reorder the terms: 5(-3 + 2x) + 4(5 + -2x) = 9 (-3 * 5 + 2x * 5) + 4(5 + -2x) = 9 (-15 + 10x) + 4(5 + -2x) = 9 -15 + 10x + (5 * 4 + -2x * 4) = 9 -15 + 10x + (20 + -8x) = 9 Reorder the terms: -15 + 20 + 10x + -8x = 9 Combine like terms: -15 + 20 = 5 5 + 10x + -8x = 9 Combine like terms: 10x + -8x = 2x 5 + 2x = 9 Solving 5 + 2x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2x = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 9 + -5 2x = 9 + -5 Combine like terms: 9 + -5 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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