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Simplifying 5(2x + 6) = -4(5 + -2f) + 3x Reorder the terms: 5(6 + 2x) = -4(5 + -2f) + 3x (6 * 5 + 2x * 5) = -4(5 + -2f) + 3x (30 + 10x) = -4(5 + -2f) + 3x 30 + 10x = (5 * -4 + -2f * -4) + 3x 30 + 10x = (-20 + 8f) + 3x Solving 30 + 10x = -20 + 8f + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 30 + 10x + -3x = -20 + 8f + 3x + -3x Combine like terms: 10x + -3x = 7x 30 + 7x = -20 + 8f + 3x + -3x Combine like terms: 3x + -3x = 0 30 + 7x = -20 + 8f + 0 30 + 7x = -20 + 8f Add '-30' to each side of the equation. 30 + -30 + 7x = -20 + -30 + 8f Combine like terms: 30 + -30 = 0 0 + 7x = -20 + -30 + 8f 7x = -20 + -30 + 8f Combine like terms: -20 + -30 = -50 7x = -50 + 8f Divide each side by '7'. x = -7.142857143 + 1.142857143f Simplifying x = -7.142857143 + 1.142857143f
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