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Simplifying 2(3x + -4) + 2(2x + 3) = 78 Reorder the terms: 2(-4 + 3x) + 2(2x + 3) = 78 (-4 * 2 + 3x * 2) + 2(2x + 3) = 78 (-8 + 6x) + 2(2x + 3) = 78 Reorder the terms: -8 + 6x + 2(3 + 2x) = 78 -8 + 6x + (3 * 2 + 2x * 2) = 78 -8 + 6x + (6 + 4x) = 78 Reorder the terms: -8 + 6 + 6x + 4x = 78 Combine like terms: -8 + 6 = -2 -2 + 6x + 4x = 78 Combine like terms: 6x + 4x = 10x -2 + 10x = 78 Solving -2 + 10x = 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 + 10x = 78 + 2 Combine like terms: -2 + 2 = 0 0 + 10x = 78 + 2 10x = 78 + 2 Combine like terms: 78 + 2 = 80 10x = 80 Divide each side by '10'. x = 8 Simplifying x = 8
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