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Simplifying 8 + 2(x + -4) = 3x + 7 + -5(1 + -1x) Reorder the terms: 8 + 2(-4 + x) = 3x + 7 + -5(1 + -1x) 8 + (-4 * 2 + x * 2) = 3x + 7 + -5(1 + -1x) 8 + (-8 + 2x) = 3x + 7 + -5(1 + -1x) Combine like terms: 8 + -8 = 0 0 + 2x = 3x + 7 + -5(1 + -1x) 2x = 3x + 7 + -5(1 + -1x) 2x = 3x + 7 + (1 * -5 + -1x * -5) 2x = 3x + 7 + (-5 + 5x) Reorder the terms: 2x = 7 + -5 + 3x + 5x Combine like terms: 7 + -5 = 2 2x = 2 + 3x + 5x Combine like terms: 3x + 5x = 8x 2x = 2 + 8x Solving 2x = 2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 2x + -8x = 2 + 8x + -8x Combine like terms: 2x + -8x = -6x -6x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 -6x = 2 + 0 -6x = 2 Divide each side by '-6'. x = -0.3333333333 Simplifying x = -0.3333333333
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