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Simplifying -2[3x + 4 + -1(4x + -5)] + 2(x + -1) + -3(2x + -3) = 17 + -6x Reorder the terms: -2[3x + 4 + -1(-5 + 4x)] + 2(x + -1) + -3(2x + -3) = 17 + -6x -2[3x + 4 + (-5 * -1 + 4x * -1)] + 2(x + -1) + -3(2x + -3) = 17 + -6x -2[3x + 4 + (5 + -4x)] + 2(x + -1) + -3(2x + -3) = 17 + -6x Reorder the terms: -2[4 + 5 + 3x + -4x] + 2(x + -1) + -3(2x + -3) = 17 + -6x Combine like terms: 4 + 5 = 9 -2[9 + 3x + -4x] + 2(x + -1) + -3(2x + -3) = 17 + -6x Combine like terms: 3x + -4x = -1x -2[9 + -1x] + 2(x + -1) + -3(2x + -3) = 17 + -6x [9 * -2 + -1x * -2] + 2(x + -1) + -3(2x + -3) = 17 + -6x [-18 + 2x] + 2(x + -1) + -3(2x + -3) = 17 + -6x Reorder the terms: -18 + 2x + 2(-1 + x) + -3(2x + -3) = 17 + -6x -18 + 2x + (-1 * 2 + x * 2) + -3(2x + -3) = 17 + -6x -18 + 2x + (-2 + 2x) + -3(2x + -3) = 17 + -6x Reorder the terms: -18 + 2x + -2 + 2x + -3(-3 + 2x) = 17 + -6x -18 + 2x + -2 + 2x + (-3 * -3 + 2x * -3) = 17 + -6x -18 + 2x + -2 + 2x + (9 + -6x) = 17 + -6x Reorder the terms: -18 + -2 + 9 + 2x + 2x + -6x = 17 + -6x Combine like terms: -18 + -2 = -20 -20 + 9 + 2x + 2x + -6x = 17 + -6x Combine like terms: -20 + 9 = -11 -11 + 2x + 2x + -6x = 17 + -6x Combine like terms: 2x + 2x = 4x -11 + 4x + -6x = 17 + -6x Combine like terms: 4x + -6x = -2x -11 + -2x = 17 + -6x Solving -11 + -2x = 17 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -11 + -2x + 6x = 17 + -6x + 6x Combine like terms: -2x + 6x = 4x -11 + 4x = 17 + -6x + 6x Combine like terms: -6x + 6x = 0 -11 + 4x = 17 + 0 -11 + 4x = 17 Add '11' to each side of the equation. -11 + 11 + 4x = 17 + 11 Combine like terms: -11 + 11 = 0 0 + 4x = 17 + 11 4x = 17 + 11 Combine like terms: 17 + 11 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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