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Simplifying -43 + -1[2 + 5x + -9(x + 2)] = -7(2x + -5) + -1[7(x + -1) + -3x + 3] Reorder the terms: -43 + -1[2 + 5x + -9(2 + x)] = -7(2x + -5) + -1[7(x + -1) + -3x + 3] -43 + -1[2 + 5x + (2 * -9 + x * -9)] = -7(2x + -5) + -1[7(x + -1) + -3x + 3] -43 + -1[2 + 5x + (-18 + -9x)] = -7(2x + -5) + -1[7(x + -1) + -3x + 3] Reorder the terms: -43 + -1[2 + -18 + 5x + -9x] = -7(2x + -5) + -1[7(x + -1) + -3x + 3] Combine like terms: 2 + -18 = -16 -43 + -1[-16 + 5x + -9x] = -7(2x + -5) + -1[7(x + -1) + -3x + 3] Combine like terms: 5x + -9x = -4x -43 + -1[-16 + -4x] = -7(2x + -5) + -1[7(x + -1) + -3x + 3] -43 + [-16 * -1 + -4x * -1] = -7(2x + -5) + -1[7(x + -1) + -3x + 3] -43 + [16 + 4x] = -7(2x + -5) + -1[7(x + -1) + -3x + 3] Combine like terms: -43 + 16 = -27 -27 + 4x = -7(2x + -5) + -1[7(x + -1) + -3x + 3] Reorder the terms: -27 + 4x = -7(-5 + 2x) + -1[7(x + -1) + -3x + 3] -27 + 4x = (-5 * -7 + 2x * -7) + -1[7(x + -1) + -3x + 3] -27 + 4x = (35 + -14x) + -1[7(x + -1) + -3x + 3] Reorder the terms: -27 + 4x = 35 + -14x + -1[7(-1 + x) + -3x + 3] -27 + 4x = 35 + -14x + -1[(-1 * 7 + x * 7) + -3x + 3] -27 + 4x = 35 + -14x + -1[(-7 + 7x) + -3x + 3] Reorder the terms: -27 + 4x = 35 + -14x + -1[-7 + 3 + 7x + -3x] Combine like terms: -7 + 3 = -4 -27 + 4x = 35 + -14x + -1[-4 + 7x + -3x] Combine like terms: 7x + -3x = 4x -27 + 4x = 35 + -14x + -1[-4 + 4x] -27 + 4x = 35 + -14x + [-4 * -1 + 4x * -1] -27 + 4x = 35 + -14x + [4 + -4x] Reorder the terms: -27 + 4x = 35 + 4 + -14x + -4x Combine like terms: 35 + 4 = 39 -27 + 4x = 39 + -14x + -4x Combine like terms: -14x + -4x = -18x -27 + 4x = 39 + -18x Solving -27 + 4x = 39 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -27 + 4x + 18x = 39 + -18x + 18x Combine like terms: 4x + 18x = 22x -27 + 22x = 39 + -18x + 18x Combine like terms: -18x + 18x = 0 -27 + 22x = 39 + 0 -27 + 22x = 39 Add '27' to each side of the equation. -27 + 27 + 22x = 39 + 27 Combine like terms: -27 + 27 = 0 0 + 22x = 39 + 27 22x = 39 + 27 Combine like terms: 39 + 27 = 66 22x = 66 Divide each side by '22'. x = 3 Simplifying x = 3
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