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Simplifying 5(x + 1) + -7(9 + -1x) = 14 Reorder the terms: 5(1 + x) + -7(9 + -1x) = 14 (1 * 5 + x * 5) + -7(9 + -1x) = 14 (5 + 5x) + -7(9 + -1x) = 14 5 + 5x + (9 * -7 + -1x * -7) = 14 5 + 5x + (-63 + 7x) = 14 Reorder the terms: 5 + -63 + 5x + 7x = 14 Combine like terms: 5 + -63 = -58 -58 + 5x + 7x = 14 Combine like terms: 5x + 7x = 12x -58 + 12x = 14 Solving -58 + 12x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '58' to each side of the equation. -58 + 58 + 12x = 14 + 58 Combine like terms: -58 + 58 = 0 0 + 12x = 14 + 58 12x = 14 + 58 Combine like terms: 14 + 58 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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