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Simplifying 5(2x + 6) = -4(-5a + 4) + 3x Reorder the terms: 5(6 + 2x) = -4(-5a + 4) + 3x (6 * 5 + 2x * 5) = -4(-5a + 4) + 3x (30 + 10x) = -4(-5a + 4) + 3x Reorder the terms: 30 + 10x = -4(4 + -5a) + 3x 30 + 10x = (4 * -4 + -5a * -4) + 3x 30 + 10x = (-16 + 20a) + 3x Solving 30 + 10x = -16 + 20a + 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 = -16 + 20a + 3x + -3x Combine like terms: 10x + -3x = 7x 30 + 7x = -16 + 20a + 3x + -3x Combine like terms: 3x + -3x = 0 30 + 7x = -16 + 20a + 0 30 + 7x = -16 + 20a Add '-30' to each side of the equation. 30 + -30 + 7x = -16 + -30 + 20a Combine like terms: 30 + -30 = 0 0 + 7x = -16 + -30 + 20a 7x = -16 + -30 + 20a Combine like terms: -16 + -30 = -46 7x = -46 + 20a Divide each side by '7'. x = -6.571428571 + 2.857142857a Simplifying x = -6.571428571 + 2.857142857a
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