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Simplifying -2 + 8x + 4(-2 + x) = 3 + -5(8 + -1x) -2 + 8x + (-2 * 4 + x * 4) = 3 + -5(8 + -1x) -2 + 8x + (-8 + 4x) = 3 + -5(8 + -1x) Reorder the terms: -2 + -8 + 8x + 4x = 3 + -5(8 + -1x) Combine like terms: -2 + -8 = -10 -10 + 8x + 4x = 3 + -5(8 + -1x) Combine like terms: 8x + 4x = 12x -10 + 12x = 3 + -5(8 + -1x) -10 + 12x = 3 + (8 * -5 + -1x * -5) -10 + 12x = 3 + (-40 + 5x) Combine like terms: 3 + -40 = -37 -10 + 12x = -37 + 5x Solving -10 + 12x = -37 + 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. -10 + 12x + -5x = -37 + 5x + -5x Combine like terms: 12x + -5x = 7x -10 + 7x = -37 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + 7x = -37 + 0 -10 + 7x = -37 Add '10' to each side of the equation. -10 + 10 + 7x = -37 + 10 Combine like terms: -10 + 10 = 0 0 + 7x = -37 + 10 7x = -37 + 10 Combine like terms: -37 + 10 = -27 7x = -27 Divide each side by '7'. x = -3.857142857 Simplifying x = -3.857142857
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