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Simplifying 4x + 8 + -1(2x + 10) = 78 Reorder the terms: 4x + 8 + -1(10 + 2x) = 78 4x + 8 + (10 * -1 + 2x * -1) = 78 4x + 8 + (-10 + -2x) = 78 Reorder the terms: 8 + -10 + 4x + -2x = 78 Combine like terms: 8 + -10 = -2 -2 + 4x + -2x = 78 Combine like terms: 4x + -2x = 2x -2 + 2x = 78 Solving -2 + 2x = 78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 2x = 78 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 78 + 2 2x = 78 + 2 Combine like terms: 78 + 2 = 80 2x = 80 Divide each side by '2'. x = 40 Simplifying x = 40
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