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Simplifying 0.75(3x + 5) = 2(3 + -4x) + 8 Reorder the terms: 0.75(5 + 3x) = 2(3 + -4x) + 8 (5 * 0.75 + 3x * 0.75) = 2(3 + -4x) + 8 (3.75 + 2.25x) = 2(3 + -4x) + 8 3.75 + 2.25x = (3 * 2 + -4x * 2) + 8 3.75 + 2.25x = (6 + -8x) + 8 Reorder the terms: 3.75 + 2.25x = 6 + 8 + -8x Combine like terms: 6 + 8 = 14 3.75 + 2.25x = 14 + -8x Solving 3.75 + 2.25x = 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. 3.75 + 2.25x + 8x = 14 + -8x + 8x Combine like terms: 2.25x + 8x = 10.25x 3.75 + 10.25x = 14 + -8x + 8x Combine like terms: -8x + 8x = 0 3.75 + 10.25x = 14 + 0 3.75 + 10.25x = 14 Add '-3.75' to each side of the equation. 3.75 + -3.75 + 10.25x = 14 + -3.75 Combine like terms: 3.75 + -3.75 = 0.00 0.00 + 10.25x = 14 + -3.75 10.25x = 14 + -3.75 Combine like terms: 14 + -3.75 = 10.25 10.25x = 10.25 Divide each side by '10.25'. x = 1 Simplifying x = 1
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