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Simplifying 4(5x + 4) = 10(-3x + 6) Reorder the terms: 4(4 + 5x) = 10(-3x + 6) (4 * 4 + 5x * 4) = 10(-3x + 6) (16 + 20x) = 10(-3x + 6) Reorder the terms: 16 + 20x = 10(6 + -3x) 16 + 20x = (6 * 10 + -3x * 10) 16 + 20x = (60 + -30x) Solving 16 + 20x = 60 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 16 + 20x + 30x = 60 + -30x + 30x Combine like terms: 20x + 30x = 50x 16 + 50x = 60 + -30x + 30x Combine like terms: -30x + 30x = 0 16 + 50x = 60 + 0 16 + 50x = 60 Add '-16' to each side of the equation. 16 + -16 + 50x = 60 + -16 Combine like terms: 16 + -16 = 0 0 + 50x = 60 + -16 50x = 60 + -16 Combine like terms: 60 + -16 = 44 50x = 44 Divide each side by '50'. x = 0.88 Simplifying x = 0.88
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