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Simplifying 5(2x + -3) = 4(2x + 3) + -3 Reorder the terms: 5(-3 + 2x) = 4(2x + 3) + -3 (-3 * 5 + 2x * 5) = 4(2x + 3) + -3 (-15 + 10x) = 4(2x + 3) + -3 Reorder the terms: -15 + 10x = 4(3 + 2x) + -3 -15 + 10x = (3 * 4 + 2x * 4) + -3 -15 + 10x = (12 + 8x) + -3 Reorder the terms: -15 + 10x = 12 + -3 + 8x Combine like terms: 12 + -3 = 9 -15 + 10x = 9 + 8x Solving -15 + 10x = 9 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -15 + 10x + -8x = 9 + 8x + -8x Combine like terms: 10x + -8x = 2x -15 + 2x = 9 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 + 2x = 9 + 0 -15 + 2x = 9 Add '15' to each side of the equation. -15 + 15 + 2x = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = 9 + 15 2x = 9 + 15 Combine like terms: 9 + 15 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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