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Simplifying 5x + 7(78 + -1x) = 442 5x + (78 * 7 + -1x * 7) = 442 5x + (546 + -7x) = 442 Reorder the terms: 546 + 5x + -7x = 442 Combine like terms: 5x + -7x = -2x 546 + -2x = 442 Solving 546 + -2x = 442 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-546' to each side of the equation. 546 + -546 + -2x = 442 + -546 Combine like terms: 546 + -546 = 0 0 + -2x = 442 + -546 -2x = 442 + -546 Combine like terms: 442 + -546 = -104 -2x = -104 Divide each side by '-2'. x = 52 Simplifying x = 52
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