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Simplifying 3(8x + -2) = 4(5x + 6) Reorder the terms: 3(-2 + 8x) = 4(5x + 6) (-2 * 3 + 8x * 3) = 4(5x + 6) (-6 + 24x) = 4(5x + 6) Reorder the terms: -6 + 24x = 4(6 + 5x) -6 + 24x = (6 * 4 + 5x * 4) -6 + 24x = (24 + 20x) Solving -6 + 24x = 24 + 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 + 24x + -20x = 24 + 20x + -20x Combine like terms: 24x + -20x = 4x -6 + 4x = 24 + 20x + -20x Combine like terms: 20x + -20x = 0 -6 + 4x = 24 + 0 -6 + 4x = 24 Add '6' to each side of the equation. -6 + 6 + 4x = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = 24 + 6 4x = 24 + 6 Combine like terms: 24 + 6 = 30 4x = 30 Divide each side by '4'. x = 7.5 Simplifying x = 7.5
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