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Simplifying 5x + -1(8x) = 2[-4 + -1(3 + 5x) + -13] Remove parenthesis around (8x) 5x + -1 * 8x = 2[-4 + -1(3 + 5x) + -13] Multiply -1 * 8 5x + -8x = 2[-4 + -1(3 + 5x) + -13] Combine like terms: 5x + -8x = -3x -3x = 2[-4 + -1(3 + 5x) + -13] -3x = 2[-4 + (3 * -1 + 5x * -1) + -13] -3x = 2[-4 + (-3 + -5x) + -13] Reorder the terms: -3x = 2[-4 + -3 + -13 + -5x] Combine like terms: -4 + -3 = -7 -3x = 2[-7 + -13 + -5x] Combine like terms: -7 + -13 = -20 -3x = 2[-20 + -5x] -3x = [-20 * 2 + -5x * 2] -3x = [-40 + -10x] Solving -3x = -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. -3x + 10x = -40 + -10x + 10x Combine like terms: -3x + 10x = 7x 7x = -40 + -10x + 10x Combine like terms: -10x + 10x = 0 7x = -40 + 0 7x = -40 Divide each side by '7'. x = -5.714285714 Simplifying x = -5.714285714
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