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Simplifying 10(8x + -1) + -4 = 78x + 10 Reorder the terms: 10(-1 + 8x) + -4 = 78x + 10 (-1 * 10 + 8x * 10) + -4 = 78x + 10 (-10 + 80x) + -4 = 78x + 10 Reorder the terms: -10 + -4 + 80x = 78x + 10 Combine like terms: -10 + -4 = -14 -14 + 80x = 78x + 10 Reorder the terms: -14 + 80x = 10 + 78x Solving -14 + 80x = 10 + 78x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-78x' to each side of the equation. -14 + 80x + -78x = 10 + 78x + -78x Combine like terms: 80x + -78x = 2x -14 + 2x = 10 + 78x + -78x Combine like terms: 78x + -78x = 0 -14 + 2x = 10 + 0 -14 + 2x = 10 Add '14' to each side of the equation. -14 + 14 + 2x = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = 10 + 14 2x = 10 + 14 Combine like terms: 10 + 14 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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