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Simplifying 7(1 + 6x) = (30 + -1x) * 3 + 7 (1 * 7 + 6x * 7) = (30 + -1x) * 3 + 7 (7 + 42x) = (30 + -1x) * 3 + 7 Reorder the terms for easier multiplication: 7 + 42x = 3(30 + -1x) + 7 7 + 42x = (30 * 3 + -1x * 3) + 7 7 + 42x = (90 + -3x) + 7 Reorder the terms: 7 + 42x = 90 + 7 + -3x Combine like terms: 90 + 7 = 97 7 + 42x = 97 + -3x Solving 7 + 42x = 97 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 7 + 42x + 3x = 97 + -3x + 3x Combine like terms: 42x + 3x = 45x 7 + 45x = 97 + -3x + 3x Combine like terms: -3x + 3x = 0 7 + 45x = 97 + 0 7 + 45x = 97 Add '-7' to each side of the equation. 7 + -7 + 45x = 97 + -7 Combine like terms: 7 + -7 = 0 0 + 45x = 97 + -7 45x = 97 + -7 Combine like terms: 97 + -7 = 90 45x = 90 Divide each side by '45'. x = 2 Simplifying x = 2
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