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Simplifying -15x + 21 + -1(25x + (-32x + 17)) = -1(-65 + (12x + -31) + -9x + 57) + -10 Reorder the terms: -15x + 21 + -1(25x + (17 + -32x)) = -1(-65 + (12x + -31) + -9x + 57) + -10 Remove parenthesis around (17 + -32x) -15x + 21 + -1(25x + 17 + -32x) = -1(-65 + (12x + -31) + -9x + 57) + -10 Reorder the terms: -15x + 21 + -1(17 + 25x + -32x) = -1(-65 + (12x + -31) + -9x + 57) + -10 Combine like terms: 25x + -32x = -7x -15x + 21 + -1(17 + -7x) = -1(-65 + (12x + -31) + -9x + 57) + -10 -15x + 21 + (17 * -1 + -7x * -1) = -1(-65 + (12x + -31) + -9x + 57) + -10 -15x + 21 + (-17 + 7x) = -1(-65 + (12x + -31) + -9x + 57) + -10 Reorder the terms: 21 + -17 + -15x + 7x = -1(-65 + (12x + -31) + -9x + 57) + -10 Combine like terms: 21 + -17 = 4 4 + -15x + 7x = -1(-65 + (12x + -31) + -9x + 57) + -10 Combine like terms: -15x + 7x = -8x 4 + -8x = -1(-65 + (12x + -31) + -9x + 57) + -10 Reorder the terms: 4 + -8x = -1(-65 + (-31 + 12x) + -9x + 57) + -10 Remove parenthesis around (-31 + 12x) 4 + -8x = -1(-65 + -31 + 12x + -9x + 57) + -10 Reorder the terms: 4 + -8x = -1(-65 + -31 + 57 + 12x + -9x) + -10 Combine like terms: -65 + -31 = -96 4 + -8x = -1(-96 + 57 + 12x + -9x) + -10 Combine like terms: -96 + 57 = -39 4 + -8x = -1(-39 + 12x + -9x) + -10 Combine like terms: 12x + -9x = 3x 4 + -8x = -1(-39 + 3x) + -10 4 + -8x = (-39 * -1 + 3x * -1) + -10 4 + -8x = (39 + -3x) + -10 Reorder the terms: 4 + -8x = 39 + -10 + -3x Combine like terms: 39 + -10 = 29 4 + -8x = 29 + -3x Solving 4 + -8x = 29 + -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. 4 + -8x + 3x = 29 + -3x + 3x Combine like terms: -8x + 3x = -5x 4 + -5x = 29 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + -5x = 29 + 0 4 + -5x = 29 Add '-4' to each side of the equation. 4 + -4 + -5x = 29 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 29 + -4 -5x = 29 + -4 Combine like terms: 29 + -4 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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