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Simplifying 5(2x + -3) = 2(4x + 7) Reorder the terms: 5(-3 + 2x) = 2(4x + 7) (-3 * 5 + 2x * 5) = 2(4x + 7) (-15 + 10x) = 2(4x + 7) Reorder the terms: -15 + 10x = 2(7 + 4x) -15 + 10x = (7 * 2 + 4x * 2) -15 + 10x = (14 + 8x) Solving -15 + 10x = 14 + 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 = 14 + 8x + -8x Combine like terms: 10x + -8x = 2x -15 + 2x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 + 2x = 14 + 0 -15 + 2x = 14 Add '15' to each side of the equation. -15 + 15 + 2x = 14 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = 14 + 15 2x = 14 + 15 Combine like terms: 14 + 15 = 29 2x = 29 Divide each side by '2'. x = 14.5 Simplifying x = 14.5
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