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Simplifying 7(6x + 5) + -5(x + -7) = 70 Reorder the terms: 7(5 + 6x) + -5(x + -7) = 70 (5 * 7 + 6x * 7) + -5(x + -7) = 70 (35 + 42x) + -5(x + -7) = 70 Reorder the terms: 35 + 42x + -5(-7 + x) = 70 35 + 42x + (-7 * -5 + x * -5) = 70 35 + 42x + (35 + -5x) = 70 Reorder the terms: 35 + 35 + 42x + -5x = 70 Combine like terms: 35 + 35 = 70 70 + 42x + -5x = 70 Combine like terms: 42x + -5x = 37x 70 + 37x = 70 Add '-70' to each side of the equation. 70 + -70 + 37x = 70 + -70 Combine like terms: 70 + -70 = 0 0 + 37x = 70 + -70 37x = 70 + -70 Combine like terms: 70 + -70 = 0 37x = 0 Solving 37x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '37'. x = 0 Simplifying x = 0
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