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Simplifying 5(2x + -3) = 2(3 + -1x) + 3 Reorder the terms: 5(-3 + 2x) = 2(3 + -1x) + 3 (-3 * 5 + 2x * 5) = 2(3 + -1x) + 3 (-15 + 10x) = 2(3 + -1x) + 3 -15 + 10x = (3 * 2 + -1x * 2) + 3 -15 + 10x = (6 + -2x) + 3 Reorder the terms: -15 + 10x = 6 + 3 + -2x Combine like terms: 6 + 3 = 9 -15 + 10x = 9 + -2x Solving -15 + 10x = 9 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -15 + 10x + 2x = 9 + -2x + 2x Combine like terms: 10x + 2x = 12x -15 + 12x = 9 + -2x + 2x Combine like terms: -2x + 2x = 0 -15 + 12x = 9 + 0 -15 + 12x = 9 Add '15' to each side of the equation. -15 + 15 + 12x = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 12x = 9 + 15 12x = 9 + 15 Combine like terms: 9 + 15 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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