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Simplifying 5(5x + 3) = -4(4x + -5) Reorder the terms: 5(3 + 5x) = -4(4x + -5) (3 * 5 + 5x * 5) = -4(4x + -5) (15 + 25x) = -4(4x + -5) Reorder the terms: 15 + 25x = -4(-5 + 4x) 15 + 25x = (-5 * -4 + 4x * -4) 15 + 25x = (20 + -16x) Solving 15 + 25x = 20 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 15 + 25x + 16x = 20 + -16x + 16x Combine like terms: 25x + 16x = 41x 15 + 41x = 20 + -16x + 16x Combine like terms: -16x + 16x = 0 15 + 41x = 20 + 0 15 + 41x = 20 Add '-15' to each side of the equation. 15 + -15 + 41x = 20 + -15 Combine like terms: 15 + -15 = 0 0 + 41x = 20 + -15 41x = 20 + -15 Combine like terms: 20 + -15 = 5 41x = 5 Divide each side by '41'. x = 0.1219512195 Simplifying x = 0.1219512195
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