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Simplifying 2(x + 1) + -6 = -5(2x + 8) Reorder the terms: 2(1 + x) + -6 = -5(2x + 8) (1 * 2 + x * 2) + -6 = -5(2x + 8) (2 + 2x) + -6 = -5(2x + 8) Reorder the terms: 2 + -6 + 2x = -5(2x + 8) Combine like terms: 2 + -6 = -4 -4 + 2x = -5(2x + 8) Reorder the terms: -4 + 2x = -5(8 + 2x) -4 + 2x = (8 * -5 + 2x * -5) -4 + 2x = (-40 + -10x) Solving -4 + 2x = -40 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -4 + 2x + 10x = -40 + -10x + 10x Combine like terms: 2x + 10x = 12x -4 + 12x = -40 + -10x + 10x Combine like terms: -10x + 10x = 0 -4 + 12x = -40 + 0 -4 + 12x = -40 Add '4' to each side of the equation. -4 + 4 + 12x = -40 + 4 Combine like terms: -4 + 4 = 0 0 + 12x = -40 + 4 12x = -40 + 4 Combine like terms: -40 + 4 = -36 12x = -36 Divide each side by '12'. x = -3 Simplifying x = -3
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