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Simplifying 6(3 + 7x) + 5 = 23 + -4x (3 * 6 + 7x * 6) + 5 = 23 + -4x (18 + 42x) + 5 = 23 + -4x Reorder the terms: 18 + 5 + 42x = 23 + -4x Combine like terms: 18 + 5 = 23 23 + 42x = 23 + -4x Add '-23' to each side of the equation. 23 + -23 + 42x = 23 + -23 + -4x Combine like terms: 23 + -23 = 0 0 + 42x = 23 + -23 + -4x 42x = 23 + -23 + -4x Combine like terms: 23 + -23 = 0 42x = 0 + -4x 42x = -4x Solving 42x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 42x + 4x = -4x + 4x Combine like terms: 42x + 4x = 46x 46x = -4x + 4x Combine like terms: -4x + 4x = 0 46x = 0 Divide each side by '46'. x = 0 Simplifying x = 0
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