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Simplifying 3(2 + -5x) = -4(7x + -3) (2 * 3 + -5x * 3) = -4(7x + -3) (6 + -15x) = -4(7x + -3) Reorder the terms: 6 + -15x = -4(-3 + 7x) 6 + -15x = (-3 * -4 + 7x * -4) 6 + -15x = (12 + -28x) Solving 6 + -15x = 12 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. 6 + -15x + 28x = 12 + -28x + 28x Combine like terms: -15x + 28x = 13x 6 + 13x = 12 + -28x + 28x Combine like terms: -28x + 28x = 0 6 + 13x = 12 + 0 6 + 13x = 12 Add '-6' to each side of the equation. 6 + -6 + 13x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 13x = 12 + -6 13x = 12 + -6 Combine like terms: 12 + -6 = 6 13x = 6 Divide each side by '13'. x = 0.4615384615 Simplifying x = 0.4615384615
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