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Simplifying 5(4x + 3) = 3(5x + -2) Reorder the terms: 5(3 + 4x) = 3(5x + -2) (3 * 5 + 4x * 5) = 3(5x + -2) (15 + 20x) = 3(5x + -2) Reorder the terms: 15 + 20x = 3(-2 + 5x) 15 + 20x = (-2 * 3 + 5x * 3) 15 + 20x = (-6 + 15x) Solving 15 + 20x = -6 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 15 + 20x + -15x = -6 + 15x + -15x Combine like terms: 20x + -15x = 5x 15 + 5x = -6 + 15x + -15x Combine like terms: 15x + -15x = 0 15 + 5x = -6 + 0 15 + 5x = -6 Add '-15' to each side of the equation. 15 + -15 + 5x = -6 + -15 Combine like terms: 15 + -15 = 0 0 + 5x = -6 + -15 5x = -6 + -15 Combine like terms: -6 + -15 = -21 5x = -21 Divide each side by '5'. x = -4.2 Simplifying x = -4.2
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