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Simplifying 1 + -6(4 + -7x) = -23 + -3x 1 + (4 * -6 + -7x * -6) = -23 + -3x 1 + (-24 + 42x) = -23 + -3x Combine like terms: 1 + -24 = -23 -23 + 42x = -23 + -3x Add '23' to each side of the equation. -23 + 23 + 42x = -23 + 23 + -3x Combine like terms: -23 + 23 = 0 0 + 42x = -23 + 23 + -3x 42x = -23 + 23 + -3x Combine like terms: -23 + 23 = 0 42x = 0 + -3x 42x = -3x Solving 42x = -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. 42x + 3x = -3x + 3x Combine like terms: 42x + 3x = 45x 45x = -3x + 3x Combine like terms: -3x + 3x = 0 45x = 0 Divide each side by '45'. x = 0 Simplifying x = 0
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