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Simplifying 5x + -4(x + 2) = 8 + -1(2 + -5x) Reorder the terms: 5x + -4(2 + x) = 8 + -1(2 + -5x) 5x + (2 * -4 + x * -4) = 8 + -1(2 + -5x) 5x + (-8 + -4x) = 8 + -1(2 + -5x) Reorder the terms: -8 + 5x + -4x = 8 + -1(2 + -5x) Combine like terms: 5x + -4x = 1x -8 + 1x = 8 + -1(2 + -5x) -8 + 1x = 8 + (2 * -1 + -5x * -1) -8 + 1x = 8 + (-2 + 5x) Combine like terms: 8 + -2 = 6 -8 + 1x = 6 + 5x Solving -8 + 1x = 6 + 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. -8 + 1x + -5x = 6 + 5x + -5x Combine like terms: 1x + -5x = -4x -8 + -4x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + -4x = 6 + 0 -8 + -4x = 6 Add '8' to each side of the equation. -8 + 8 + -4x = 6 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = 6 + 8 -4x = 6 + 8 Combine like terms: 6 + 8 = 14 -4x = 14 Divide each side by '-4'. x = -3.5 Simplifying x = -3.5
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