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Simplifying 7x + -2 + -1 = 2(-6x + 1) + -5(1 + 6x) Reorder the terms: -2 + -1 + 7x = 2(-6x + 1) + -5(1 + 6x) Combine like terms: -2 + -1 = -3 -3 + 7x = 2(-6x + 1) + -5(1 + 6x) Reorder the terms: -3 + 7x = 2(1 + -6x) + -5(1 + 6x) -3 + 7x = (1 * 2 + -6x * 2) + -5(1 + 6x) -3 + 7x = (2 + -12x) + -5(1 + 6x) -3 + 7x = 2 + -12x + (1 * -5 + 6x * -5) -3 + 7x = 2 + -12x + (-5 + -30x) Reorder the terms: -3 + 7x = 2 + -5 + -12x + -30x Combine like terms: 2 + -5 = -3 -3 + 7x = -3 + -12x + -30x Combine like terms: -12x + -30x = -42x -3 + 7x = -3 + -42x Add '3' to each side of the equation. -3 + 3 + 7x = -3 + 3 + -42x Combine like terms: -3 + 3 = 0 0 + 7x = -3 + 3 + -42x 7x = -3 + 3 + -42x Combine like terms: -3 + 3 = 0 7x = 0 + -42x 7x = -42x Solving 7x = -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. 7x + 42x = -42x + 42x Combine like terms: 7x + 42x = 49x 49x = -42x + 42x Combine like terms: -42x + 42x = 0 49x = 0 Divide each side by '49'. x = 0 Simplifying x = 0
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