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Simplifying 7 + -5(x + 1) = -4 + 6(1 + -6x) Reorder the terms: 7 + -5(1 + x) = -4 + 6(1 + -6x) 7 + (1 * -5 + x * -5) = -4 + 6(1 + -6x) 7 + (-5 + -5x) = -4 + 6(1 + -6x) Combine like terms: 7 + -5 = 2 2 + -5x = -4 + 6(1 + -6x) 2 + -5x = -4 + (1 * 6 + -6x * 6) 2 + -5x = -4 + (6 + -36x) Combine like terms: -4 + 6 = 2 2 + -5x = 2 + -36x Add '-2' to each side of the equation. 2 + -2 + -5x = 2 + -2 + -36x Combine like terms: 2 + -2 = 0 0 + -5x = 2 + -2 + -36x -5x = 2 + -2 + -36x Combine like terms: 2 + -2 = 0 -5x = 0 + -36x -5x = -36x Solving -5x = -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -5x + 36x = -36x + 36x Combine like terms: -5x + 36x = 31x 31x = -36x + 36x Combine like terms: -36x + 36x = 0 31x = 0 Divide each side by '31'. x = 0 Simplifying x = 0
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