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Simplifying -7(4x + 2) + 5x = 78 Reorder the terms: -7(2 + 4x) + 5x = 78 (2 * -7 + 4x * -7) + 5x = 78 (-14 + -28x) + 5x = 78 Combine like terms: -28x + 5x = -23x -14 + -23x = 78 Solving -14 + -23x = 78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -23x = 78 + 14 Combine like terms: -14 + 14 = 0 0 + -23x = 78 + 14 -23x = 78 + 14 Combine like terms: 78 + 14 = 92 -23x = 92 Divide each side by '-23'. x = -4 Simplifying x = -4
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