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Simplifying 1 + -3x + -1(3x + -1) + -5x = 3 + -3(x + -4) + -1(7x + 13) Reorder the terms: 1 + -3x + -1(-1 + 3x) + -5x = 3 + -3(x + -4) + -1(7x + 13) 1 + -3x + (-1 * -1 + 3x * -1) + -5x = 3 + -3(x + -4) + -1(7x + 13) 1 + -3x + (1 + -3x) + -5x = 3 + -3(x + -4) + -1(7x + 13) Reorder the terms: 1 + 1 + -3x + -3x + -5x = 3 + -3(x + -4) + -1(7x + 13) Combine like terms: 1 + 1 = 2 2 + -3x + -3x + -5x = 3 + -3(x + -4) + -1(7x + 13) Combine like terms: -3x + -3x = -6x 2 + -6x + -5x = 3 + -3(x + -4) + -1(7x + 13) Combine like terms: -6x + -5x = -11x 2 + -11x = 3 + -3(x + -4) + -1(7x + 13) Reorder the terms: 2 + -11x = 3 + -3(-4 + x) + -1(7x + 13) 2 + -11x = 3 + (-4 * -3 + x * -3) + -1(7x + 13) 2 + -11x = 3 + (12 + -3x) + -1(7x + 13) Reorder the terms: 2 + -11x = 3 + 12 + -3x + -1(13 + 7x) 2 + -11x = 3 + 12 + -3x + (13 * -1 + 7x * -1) 2 + -11x = 3 + 12 + -3x + (-13 + -7x) Reorder the terms: 2 + -11x = 3 + 12 + -13 + -3x + -7x Combine like terms: 3 + 12 = 15 2 + -11x = 15 + -13 + -3x + -7x Combine like terms: 15 + -13 = 2 2 + -11x = 2 + -3x + -7x Combine like terms: -3x + -7x = -10x 2 + -11x = 2 + -10x Add '-2' to each side of the equation. 2 + -2 + -11x = 2 + -2 + -10x Combine like terms: 2 + -2 = 0 0 + -11x = 2 + -2 + -10x -11x = 2 + -2 + -10x Combine like terms: 2 + -2 = 0 -11x = 0 + -10x -11x = -10x Solving -11x = -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -11x + 10x = -10x + 10x Combine like terms: -11x + 10x = -1x -1x = -10x + 10x Combine like terms: -10x + 10x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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