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Simplifying 7(-3x + 5) + -5(1 + 7x) = 30 Reorder the terms: 7(5 + -3x) + -5(1 + 7x) = 30 (5 * 7 + -3x * 7) + -5(1 + 7x) = 30 (35 + -21x) + -5(1 + 7x) = 30 35 + -21x + (1 * -5 + 7x * -5) = 30 35 + -21x + (-5 + -35x) = 30 Reorder the terms: 35 + -5 + -21x + -35x = 30 Combine like terms: 35 + -5 = 30 30 + -21x + -35x = 30 Combine like terms: -21x + -35x = -56x 30 + -56x = 30 Add '-30' to each side of the equation. 30 + -30 + -56x = 30 + -30 Combine like terms: 30 + -30 = 0 0 + -56x = 30 + -30 -56x = 30 + -30 Combine like terms: 30 + -30 = 0 -56x = 0 Solving -56x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-56'. x = 0 Simplifying x = 0
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