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Simplifying 5(2x + -3) = 3(3x + 1) Reorder the terms: 5(-3 + 2x) = 3(3x + 1) (-3 * 5 + 2x * 5) = 3(3x + 1) (-15 + 10x) = 3(3x + 1) Reorder the terms: -15 + 10x = 3(1 + 3x) -15 + 10x = (1 * 3 + 3x * 3) -15 + 10x = (3 + 9x) Solving -15 + 10x = 3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -15 + 10x + -9x = 3 + 9x + -9x Combine like terms: 10x + -9x = 1x -15 + 1x = 3 + 9x + -9x Combine like terms: 9x + -9x = 0 -15 + 1x = 3 + 0 -15 + 1x = 3 Add '15' to each side of the equation. -15 + 15 + 1x = 3 + 15 Combine like terms: -15 + 15 = 0 0 + 1x = 3 + 15 1x = 3 + 15 Combine like terms: 3 + 15 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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