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Simplifying 7x + -6 + 2(1 + -1x) = -5(x + 1) + 1 7x + -6 + (1 * 2 + -1x * 2) = -5(x + 1) + 1 7x + -6 + (2 + -2x) = -5(x + 1) + 1 Reorder the terms: -6 + 2 + 7x + -2x = -5(x + 1) + 1 Combine like terms: -6 + 2 = -4 -4 + 7x + -2x = -5(x + 1) + 1 Combine like terms: 7x + -2x = 5x -4 + 5x = -5(x + 1) + 1 Reorder the terms: -4 + 5x = -5(1 + x) + 1 -4 + 5x = (1 * -5 + x * -5) + 1 -4 + 5x = (-5 + -5x) + 1 Reorder the terms: -4 + 5x = -5 + 1 + -5x Combine like terms: -5 + 1 = -4 -4 + 5x = -4 + -5x Add '4' to each side of the equation. -4 + 4 + 5x = -4 + 4 + -5x Combine like terms: -4 + 4 = 0 0 + 5x = -4 + 4 + -5x 5x = -4 + 4 + -5x Combine like terms: -4 + 4 = 0 5x = 0 + -5x 5x = -5x Solving 5x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 5x + 5x = -5x + 5x Combine like terms: 5x + 5x = 10x 10x = -5x + 5x Combine like terms: -5x + 5x = 0 10x = 0 Divide each side by '10'. x = 0.0 Simplifying x = 0.0
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