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Simplifying 3(7x + -2) = 5(4x + -8) + 48 Reorder the terms: 3(-2 + 7x) = 5(4x + -8) + 48 (-2 * 3 + 7x * 3) = 5(4x + -8) + 48 (-6 + 21x) = 5(4x + -8) + 48 Reorder the terms: -6 + 21x = 5(-8 + 4x) + 48 -6 + 21x = (-8 * 5 + 4x * 5) + 48 -6 + 21x = (-40 + 20x) + 48 Reorder the terms: -6 + 21x = -40 + 48 + 20x Combine like terms: -40 + 48 = 8 -6 + 21x = 8 + 20x Solving -6 + 21x = 8 + 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. -6 + 21x + -20x = 8 + 20x + -20x Combine like terms: 21x + -20x = 1x -6 + 1x = 8 + 20x + -20x Combine like terms: 20x + -20x = 0 -6 + 1x = 8 + 0 -6 + 1x = 8 Add '6' to each side of the equation. -6 + 6 + 1x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 8 + 6 1x = 8 + 6 Combine like terms: 8 + 6 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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