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Simplifying 5(2 + -1(2x + -4)) = 5 + -3x Reorder the terms: 5(2 + -1(-4 + 2x)) = 5 + -3x 5(2 + (-4 * -1 + 2x * -1)) = 5 + -3x 5(2 + (4 + -2x)) = 5 + -3x Combine like terms: 2 + 4 = 6 5(6 + -2x) = 5 + -3x (6 * 5 + -2x * 5) = 5 + -3x (30 + -10x) = 5 + -3x Solving 30 + -10x = 5 + -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 = 5 + -3x + 3x Combine like terms: -10x + 3x = -7x 30 + -7x = 5 + -3x + 3x Combine like terms: -3x + 3x = 0 30 + -7x = 5 + 0 30 + -7x = 5 Add '-30' to each side of the equation. 30 + -30 + -7x = 5 + -30 Combine like terms: 30 + -30 = 0 0 + -7x = 5 + -30 -7x = 5 + -30 Combine like terms: 5 + -30 = -25 -7x = -25 Divide each side by '-7'. x = 3.571428571 Simplifying x = 3.571428571
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