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Simplifying 3(3x + -5) = 2(10 + 2x) Reorder the terms: 3(-5 + 3x) = 2(10 + 2x) (-5 * 3 + 3x * 3) = 2(10 + 2x) (-15 + 9x) = 2(10 + 2x) -15 + 9x = (10 * 2 + 2x * 2) -15 + 9x = (20 + 4x) Solving -15 + 9x = 20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -15 + 9x + -4x = 20 + 4x + -4x Combine like terms: 9x + -4x = 5x -15 + 5x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 -15 + 5x = 20 + 0 -15 + 5x = 20 Add '15' to each side of the equation. -15 + 15 + 5x = 20 + 15 Combine like terms: -15 + 15 = 0 0 + 5x = 20 + 15 5x = 20 + 15 Combine like terms: 20 + 15 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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