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Simplifying 0.75(2x + -8) = 3(8 + -6x) Reorder the terms: 0.75(-8 + 2x) = 3(8 + -6x) (-8 * 0.75 + 2x * 0.75) = 3(8 + -6x) (-6 + 1.5x) = 3(8 + -6x) -6 + 1.5x = (8 * 3 + -6x * 3) -6 + 1.5x = (24 + -18x) Solving -6 + 1.5x = 24 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -6 + 1.5x + 18x = 24 + -18x + 18x Combine like terms: 1.5x + 18x = 19.5x -6 + 19.5x = 24 + -18x + 18x Combine like terms: -18x + 18x = 0 -6 + 19.5x = 24 + 0 -6 + 19.5x = 24 Add '6' to each side of the equation. -6 + 6 + 19.5x = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 19.5x = 24 + 6 19.5x = 24 + 6 Combine like terms: 24 + 6 = 30 19.5x = 30 Divide each side by '19.5'. x = 1.538461538 Simplifying x = 1.538461538
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