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Simplifying 2x + [3x + -1(x + -4)] = -1[x + -1(5 + -1x)] Reorder the terms: 2x + [3x + -1(-4 + x)] = -1[x + -1(5 + -1x)] 2x + [3x + (-4 * -1 + x * -1)] = -1[x + -1(5 + -1x)] 2x + [3x + (4 + -1x)] = -1[x + -1(5 + -1x)] Reorder the terms: 2x + [4 + 3x + -1x] = -1[x + -1(5 + -1x)] Combine like terms: 3x + -1x = 2x 2x + [4 + 2x] = -1[x + -1(5 + -1x)] Remove brackets around [4 + 2x] 2x + 4 + 2x = -1[x + -1(5 + -1x)] Reorder the terms: 4 + 2x + 2x = -1[x + -1(5 + -1x)] Combine like terms: 2x + 2x = 4x 4 + 4x = -1[x + -1(5 + -1x)] 4 + 4x = -1[x + (5 * -1 + -1x * -1)] 4 + 4x = -1[x + (-5 + 1x)] Reorder the terms: 4 + 4x = -1[-5 + x + 1x] Combine like terms: x + 1x = 2x 4 + 4x = -1[-5 + 2x] 4 + 4x = [-5 * -1 + 2x * -1] 4 + 4x = [5 + -2x] Solving 4 + 4x = 5 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 4 + 4x + 2x = 5 + -2x + 2x Combine like terms: 4x + 2x = 6x 4 + 6x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 6x = 5 + 0 4 + 6x = 5 Add '-4' to each side of the equation. 4 + -4 + 6x = 5 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = 5 + -4 6x = 5 + -4 Combine like terms: 5 + -4 = 1 6x = 1 Divide each side by '6'. x = 0.1666666667 Simplifying x = 0.1666666667
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