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Simplifying -5(2 + -6x) + -7(1 + -7x) = 62 (2 * -5 + -6x * -5) + -7(1 + -7x) = 62 (-10 + 30x) + -7(1 + -7x) = 62 -10 + 30x + (1 * -7 + -7x * -7) = 62 -10 + 30x + (-7 + 49x) = 62 Reorder the terms: -10 + -7 + 30x + 49x = 62 Combine like terms: -10 + -7 = -17 -17 + 30x + 49x = 62 Combine like terms: 30x + 49x = 79x -17 + 79x = 62 Solving -17 + 79x = 62 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 79x = 62 + 17 Combine like terms: -17 + 17 = 0 0 + 79x = 62 + 17 79x = 62 + 17 Combine like terms: 62 + 17 = 79 79x = 79 Divide each side by '79'. x = 1 Simplifying x = 1
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