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Simplifying 7x + 2(4x + -6) = 78 Reorder the terms: 7x + 2(-6 + 4x) = 78 7x + (-6 * 2 + 4x * 2) = 78 7x + (-12 + 8x) = 78 Reorder the terms: -12 + 7x + 8x = 78 Combine like terms: 7x + 8x = 15x -12 + 15x = 78 Solving -12 + 15x = 78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 15x = 78 + 12 Combine like terms: -12 + 12 = 0 0 + 15x = 78 + 12 15x = 78 + 12 Combine like terms: 78 + 12 = 90 15x = 90 Divide each side by '15'. x = 6 Simplifying x = 6
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