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Simplifying 3[x + (2x + -1)] = -1(x + 5) Reorder the terms: 3[x + (-1 + 2x)] = -1(x + 5) Remove parenthesis around (-1 + 2x) 3[x + -1 + 2x] = -1(x + 5) Reorder the terms: 3[-1 + x + 2x] = -1(x + 5) Combine like terms: x + 2x = 3x 3[-1 + 3x] = -1(x + 5) [-1 * 3 + 3x * 3] = -1(x + 5) [-3 + 9x] = -1(x + 5) Reorder the terms: -3 + 9x = -1(5 + x) -3 + 9x = (5 * -1 + x * -1) -3 + 9x = (-5 + -1x) Solving -3 + 9x = -5 + -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. -3 + 9x + x = -5 + -1x + x Combine like terms: 9x + x = 10x -3 + 10x = -5 + -1x + x Combine like terms: -1x + x = 0 -3 + 10x = -5 + 0 -3 + 10x = -5 Add '3' to each side of the equation. -3 + 3 + 10x = -5 + 3 Combine like terms: -3 + 3 = 0 0 + 10x = -5 + 3 10x = -5 + 3 Combine like terms: -5 + 3 = -2 10x = -2 Divide each side by '10'. x = -0.2 Simplifying x = -0.2
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