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Simplifying 3(7x + -8) = 5(4x + -3) Reorder the terms: 3(-8 + 7x) = 5(4x + -3) (-8 * 3 + 7x * 3) = 5(4x + -3) (-24 + 21x) = 5(4x + -3) Reorder the terms: -24 + 21x = 5(-3 + 4x) -24 + 21x = (-3 * 5 + 4x * 5) -24 + 21x = (-15 + 20x) Solving -24 + 21x = -15 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -24 + 21x + -20x = -15 + 20x + -20x Combine like terms: 21x + -20x = 1x -24 + 1x = -15 + 20x + -20x Combine like terms: 20x + -20x = 0 -24 + 1x = -15 + 0 -24 + 1x = -15 Add '24' to each side of the equation. -24 + 24 + 1x = -15 + 24 Combine like terms: -24 + 24 = 0 0 + 1x = -15 + 24 1x = -15 + 24 Combine like terms: -15 + 24 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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