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Simplifying 4(4x + 3) = -5(5x + -5) Reorder the terms: 4(3 + 4x) = -5(5x + -5) (3 * 4 + 4x * 4) = -5(5x + -5) (12 + 16x) = -5(5x + -5) Reorder the terms: 12 + 16x = -5(-5 + 5x) 12 + 16x = (-5 * -5 + 5x * -5) 12 + 16x = (25 + -25x) Solving 12 + 16x = 25 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. 12 + 16x + 25x = 25 + -25x + 25x Combine like terms: 16x + 25x = 41x 12 + 41x = 25 + -25x + 25x Combine like terms: -25x + 25x = 0 12 + 41x = 25 + 0 12 + 41x = 25 Add '-12' to each side of the equation. 12 + -12 + 41x = 25 + -12 Combine like terms: 12 + -12 = 0 0 + 41x = 25 + -12 41x = 25 + -12 Combine like terms: 25 + -12 = 13 41x = 13 Divide each side by '41'. x = 0.3170731707 Simplifying x = 0.3170731707
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