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Simplifying 2 + -3[1 + -2(3x + -2)] + 4 = 3(2 + -1x) + -5 Reorder the terms: 2 + -3[1 + -2(-2 + 3x)] + 4 = 3(2 + -1x) + -5 2 + -3[1 + (-2 * -2 + 3x * -2)] + 4 = 3(2 + -1x) + -5 2 + -3[1 + (4 + -6x)] + 4 = 3(2 + -1x) + -5 Combine like terms: 1 + 4 = 5 2 + -3[5 + -6x] + 4 = 3(2 + -1x) + -5 2 + [5 * -3 + -6x * -3] + 4 = 3(2 + -1x) + -5 2 + [-15 + 18x] + 4 = 3(2 + -1x) + -5 Reorder the terms: 2 + -15 + 4 + 18x = 3(2 + -1x) + -5 Combine like terms: 2 + -15 = -13 -13 + 4 + 18x = 3(2 + -1x) + -5 Combine like terms: -13 + 4 = -9 -9 + 18x = 3(2 + -1x) + -5 -9 + 18x = (2 * 3 + -1x * 3) + -5 -9 + 18x = (6 + -3x) + -5 Reorder the terms: -9 + 18x = 6 + -5 + -3x Combine like terms: 6 + -5 = 1 -9 + 18x = 1 + -3x Solving -9 + 18x = 1 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -9 + 18x + 3x = 1 + -3x + 3x Combine like terms: 18x + 3x = 21x -9 + 21x = 1 + -3x + 3x Combine like terms: -3x + 3x = 0 -9 + 21x = 1 + 0 -9 + 21x = 1 Add '9' to each side of the equation. -9 + 9 + 21x = 1 + 9 Combine like terms: -9 + 9 = 0 0 + 21x = 1 + 9 21x = 1 + 9 Combine like terms: 1 + 9 = 10 21x = 10 Divide each side by '21'. x = 0.4761904762 Simplifying x = 0.4761904762
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