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Simplifying 75(4x + 8) = 3(4 + -1x) Reorder the terms: 75(8 + 4x) = 3(4 + -1x) (8 * 75 + 4x * 75) = 3(4 + -1x) (600 + 300x) = 3(4 + -1x) 600 + 300x = (4 * 3 + -1x * 3) 600 + 300x = (12 + -3x) Solving 600 + 300x = 12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 600 + 300x + 3x = 12 + -3x + 3x Combine like terms: 300x + 3x = 303x 600 + 303x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 600 + 303x = 12 + 0 600 + 303x = 12 Add '-600' to each side of the equation. 600 + -600 + 303x = 12 + -600 Combine like terms: 600 + -600 = 0 0 + 303x = 12 + -600 303x = 12 + -600 Combine like terms: 12 + -600 = -588 303x = -588 Divide each side by '303'. x = -1.940594059 Simplifying x = -1.940594059
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