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Simplifying 2[x + -1(3 + -2x)] = 5(3 + -7x) + -1x 2[x + (3 * -1 + -2x * -1)] = 5(3 + -7x) + -1x 2[x + (-3 + 2x)] = 5(3 + -7x) + -1x Reorder the terms: 2[-3 + x + 2x] = 5(3 + -7x) + -1x Combine like terms: x + 2x = 3x 2[-3 + 3x] = 5(3 + -7x) + -1x [-3 * 2 + 3x * 2] = 5(3 + -7x) + -1x [-6 + 6x] = 5(3 + -7x) + -1x -6 + 6x = (3 * 5 + -7x * 5) + -1x -6 + 6x = (15 + -35x) + -1x Combine like terms: -35x + -1x = -36x -6 + 6x = 15 + -36x Solving -6 + 6x = 15 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -6 + 6x + 36x = 15 + -36x + 36x Combine like terms: 6x + 36x = 42x -6 + 42x = 15 + -36x + 36x Combine like terms: -36x + 36x = 0 -6 + 42x = 15 + 0 -6 + 42x = 15 Add '6' to each side of the equation. -6 + 6 + 42x = 15 + 6 Combine like terms: -6 + 6 = 0 0 + 42x = 15 + 6 42x = 15 + 6 Combine like terms: 15 + 6 = 21 42x = 21 Divide each side by '42'. x = 0.5 Simplifying x = 0.5
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