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