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Simplifying 0.75(2x + 8) = 2(4 + -2x) + 9 Reorder the terms: 0.75(8 + 2x) = 2(4 + -2x) + 9 (8 * 0.75 + 2x * 0.75) = 2(4 + -2x) + 9 (6 + 1.5x) = 2(4 + -2x) + 9 6 + 1.5x = (4 * 2 + -2x * 2) + 9 6 + 1.5x = (8 + -4x) + 9 Reorder the terms: 6 + 1.5x = 8 + 9 + -4x Combine like terms: 8 + 9 = 17 6 + 1.5x = 17 + -4x Solving 6 + 1.5x = 17 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 6 + 1.5x + 4x = 17 + -4x + 4x Combine like terms: 1.5x + 4x = 5.5x 6 + 5.5x = 17 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + 5.5x = 17 + 0 6 + 5.5x = 17 Add '-6' to each side of the equation. 6 + -6 + 5.5x = 17 + -6 Combine like terms: 6 + -6 = 0 0 + 5.5x = 17 + -6 5.5x = 17 + -6 Combine like terms: 17 + -6 = 11 5.5x = 11 Divide each side by '5.5'. x = 2 Simplifying x = 2
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