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Simplifying 3(2x + -5) = 5(x + 3) Reorder the terms: 3(-5 + 2x) = 5(x + 3) (-5 * 3 + 2x * 3) = 5(x + 3) (-15 + 6x) = 5(x + 3) Reorder the terms: -15 + 6x = 5(3 + x) -15 + 6x = (3 * 5 + x * 5) -15 + 6x = (15 + 5x) Solving -15 + 6x = 15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -15 + 6x + -5x = 15 + 5x + -5x Combine like terms: 6x + -5x = 1x -15 + 1x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 + 1x = 15 + 0 -15 + 1x = 15 Add '15' to each side of the equation. -15 + 15 + 1x = 15 + 15 Combine like terms: -15 + 15 = 0 0 + 1x = 15 + 15 1x = 15 + 15 Combine like terms: 15 + 15 = 30 1x = 30 Divide each side by '1'. x = 30 Simplifying x = 30
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