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Simplifying 5x + -1(8 + -1x) = 2[-4 + -1(3 + 5x) + -13] 5x + (8 * -1 + -1x * -1) = 2[-4 + -1(3 + 5x) + -13] 5x + (-8 + 1x) = 2[-4 + -1(3 + 5x) + -13] Reorder the terms: -8 + 5x + 1x = 2[-4 + -1(3 + 5x) + -13] Combine like terms: 5x + 1x = 6x -8 + 6x = 2[-4 + -1(3 + 5x) + -13] -8 + 6x = 2[-4 + (3 * -1 + 5x * -1) + -13] -8 + 6x = 2[-4 + (-3 + -5x) + -13] Reorder the terms: -8 + 6x = 2[-4 + -3 + -13 + -5x] Combine like terms: -4 + -3 = -7 -8 + 6x = 2[-7 + -13 + -5x] Combine like terms: -7 + -13 = -20 -8 + 6x = 2[-20 + -5x] -8 + 6x = [-20 * 2 + -5x * 2] -8 + 6x = [-40 + -10x] Solving -8 + 6x = -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. -8 + 6x + 10x = -40 + -10x + 10x Combine like terms: 6x + 10x = 16x -8 + 16x = -40 + -10x + 10x Combine like terms: -10x + 10x = 0 -8 + 16x = -40 + 0 -8 + 16x = -40 Add '8' to each side of the equation. -8 + 8 + 16x = -40 + 8 Combine like terms: -8 + 8 = 0 0 + 16x = -40 + 8 16x = -40 + 8 Combine like terms: -40 + 8 = -32 16x = -32 Divide each side by '16'. x = -2 Simplifying x = -2
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