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Simplifying 2 + 5x = -4 + 6(1 + -7x) 2 + 5x = -4 + (1 * 6 + -7x * 6) 2 + 5x = -4 + (6 + -42x) Combine like terms: -4 + 6 = 2 2 + 5x = 2 + -42x Add '-2' to each side of the equation. 2 + -2 + 5x = 2 + -2 + -42x Combine like terms: 2 + -2 = 0 0 + 5x = 2 + -2 + -42x 5x = 2 + -2 + -42x Combine like terms: 2 + -2 = 0 5x = 0 + -42x 5x = -42x Solving 5x = -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. 5x + 42x = -42x + 42x Combine like terms: 5x + 42x = 47x 47x = -42x + 42x Combine like terms: -42x + 42x = 0 47x = 0 Divide each side by '47'. x = 0 Simplifying x = 0
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