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Simplifying 4(5x + 3) = -3(3x + -5) Reorder the terms: 4(3 + 5x) = -3(3x + -5) (3 * 4 + 5x * 4) = -3(3x + -5) (12 + 20x) = -3(3x + -5) Reorder the terms: 12 + 20x = -3(-5 + 3x) 12 + 20x = (-5 * -3 + 3x * -3) 12 + 20x = (15 + -9x) Solving 12 + 20x = 15 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 12 + 20x + 9x = 15 + -9x + 9x Combine like terms: 20x + 9x = 29x 12 + 29x = 15 + -9x + 9x Combine like terms: -9x + 9x = 0 12 + 29x = 15 + 0 12 + 29x = 15 Add '-12' to each side of the equation. 12 + -12 + 29x = 15 + -12 Combine like terms: 12 + -12 = 0 0 + 29x = 15 + -12 29x = 15 + -12 Combine like terms: 15 + -12 = 3 29x = 3 Divide each side by '29'. x = 0.1034482759 Simplifying x = 0.1034482759
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