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Simplifying 3 + -1[4x + -7(x + -2) + 6] = 2x + 3(x + -3) Reorder the terms: 3 + -1[4x + -7(-2 + x) + 6] = 2x + 3(x + -3) 3 + -1[4x + (-2 * -7 + x * -7) + 6] = 2x + 3(x + -3) 3 + -1[4x + (14 + -7x) + 6] = 2x + 3(x + -3) Reorder the terms: 3 + -1[14 + 6 + 4x + -7x] = 2x + 3(x + -3) Combine like terms: 14 + 6 = 20 3 + -1[20 + 4x + -7x] = 2x + 3(x + -3) Combine like terms: 4x + -7x = -3x 3 + -1[20 + -3x] = 2x + 3(x + -3) 3 + [20 * -1 + -3x * -1] = 2x + 3(x + -3) 3 + [-20 + 3x] = 2x + 3(x + -3) Combine like terms: 3 + -20 = -17 -17 + 3x = 2x + 3(x + -3) Reorder the terms: -17 + 3x = 2x + 3(-3 + x) -17 + 3x = 2x + (-3 * 3 + x * 3) -17 + 3x = 2x + (-9 + 3x) Reorder the terms: -17 + 3x = -9 + 2x + 3x Combine like terms: 2x + 3x = 5x -17 + 3x = -9 + 5x Solving -17 + 3x = -9 + 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. -17 + 3x + -5x = -9 + 5x + -5x Combine like terms: 3x + -5x = -2x -17 + -2x = -9 + 5x + -5x Combine like terms: 5x + -5x = 0 -17 + -2x = -9 + 0 -17 + -2x = -9 Add '17' to each side of the equation. -17 + 17 + -2x = -9 + 17 Combine like terms: -17 + 17 = 0 0 + -2x = -9 + 17 -2x = -9 + 17 Combine like terms: -9 + 17 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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