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Simplifying 5x + -4 = 6 + 2 + -1(x + -8) Reorder the terms: -4 + 5x = 6 + 2 + -1(x + -8) Reorder the terms: -4 + 5x = 6 + 2 + -1(-8 + x) -4 + 5x = 6 + 2 + (-8 * -1 + x * -1) -4 + 5x = 6 + 2 + (8 + -1x) Combine like terms: 6 + 2 = 8 -4 + 5x = 8 + 8 + -1x Combine like terms: 8 + 8 = 16 -4 + 5x = 16 + -1x Solving -4 + 5x = 16 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -4 + 5x + x = 16 + -1x + x Combine like terms: 5x + x = 6x -4 + 6x = 16 + -1x + x Combine like terms: -1x + x = 0 -4 + 6x = 16 + 0 -4 + 6x = 16 Add '4' to each side of the equation. -4 + 4 + 6x = 16 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = 16 + 4 6x = 16 + 4 Combine like terms: 16 + 4 = 20 6x = 20 Divide each side by '6'. x = 3.333333333 Simplifying x = 3.333333333
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