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Simplifying 5(2x + -3) = 8(x + 3) Reorder the terms: 5(-3 + 2x) = 8(x + 3) (-3 * 5 + 2x * 5) = 8(x + 3) (-15 + 10x) = 8(x + 3) Reorder the terms: -15 + 10x = 8(3 + x) -15 + 10x = (3 * 8 + x * 8) -15 + 10x = (24 + 8x) Solving -15 + 10x = 24 + 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 = 24 + 8x + -8x Combine like terms: 10x + -8x = 2x -15 + 2x = 24 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 + 2x = 24 + 0 -15 + 2x = 24 Add '15' to each side of the equation. -15 + 15 + 2x = 24 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = 24 + 15 2x = 24 + 15 Combine like terms: 24 + 15 = 39 2x = 39 Divide each side by '2'. x = 19.5 Simplifying x = 19.5
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