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Simplifying 3 + -1[2x + -1(x + -4) + 1] = 3x + 2(x + -3) + -6 Reorder the terms: 3 + -1[2x + -1(-4 + x) + 1] = 3x + 2(x + -3) + -6 3 + -1[2x + (-4 * -1 + x * -1) + 1] = 3x + 2(x + -3) + -6 3 + -1[2x + (4 + -1x) + 1] = 3x + 2(x + -3) + -6 Reorder the terms: 3 + -1[4 + 1 + 2x + -1x] = 3x + 2(x + -3) + -6 Combine like terms: 4 + 1 = 5 3 + -1[5 + 2x + -1x] = 3x + 2(x + -3) + -6 Combine like terms: 2x + -1x = 1x 3 + -1[5 + 1x] = 3x + 2(x + -3) + -6 3 + [5 * -1 + 1x * -1] = 3x + 2(x + -3) + -6 3 + [-5 + -1x] = 3x + 2(x + -3) + -6 Combine like terms: 3 + -5 = -2 -2 + -1x = 3x + 2(x + -3) + -6 Reorder the terms: -2 + -1x = 3x + 2(-3 + x) + -6 -2 + -1x = 3x + (-3 * 2 + x * 2) + -6 -2 + -1x = 3x + (-6 + 2x) + -6 Reorder the terms: -2 + -1x = -6 + -6 + 3x + 2x Combine like terms: -6 + -6 = -12 -2 + -1x = -12 + 3x + 2x Combine like terms: 3x + 2x = 5x -2 + -1x = -12 + 5x Solving -2 + -1x = -12 + 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. -2 + -1x + -5x = -12 + 5x + -5x Combine like terms: -1x + -5x = -6x -2 + -6x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -6x = -12 + 0 -2 + -6x = -12 Add '2' to each side of the equation. -2 + 2 + -6x = -12 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = -12 + 2 -6x = -12 + 2 Combine like terms: -12 + 2 = -10 -6x = -10 Divide each side by '-6'. x = 1.666666667 Simplifying x = 1.666666667
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