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Simplifying 21 + (-5x + 19) + -1(2x + -3) + 31 = 25 + -1(4x + -4) + -1(5x + -3) Reorder the terms: 21 + (19 + -5x) + -1(2x + -3) + 31 = 25 + -1(4x + -4) + -1(5x + -3) Remove parenthesis around (19 + -5x) 21 + 19 + -5x + -1(2x + -3) + 31 = 25 + -1(4x + -4) + -1(5x + -3) Reorder the terms: 21 + 19 + -5x + -1(-3 + 2x) + 31 = 25 + -1(4x + -4) + -1(5x + -3) 21 + 19 + -5x + (-3 * -1 + 2x * -1) + 31 = 25 + -1(4x + -4) + -1(5x + -3) 21 + 19 + -5x + (3 + -2x) + 31 = 25 + -1(4x + -4) + -1(5x + -3) Reorder the terms: 21 + 19 + 3 + 31 + -5x + -2x = 25 + -1(4x + -4) + -1(5x + -3) Combine like terms: 21 + 19 = 40 40 + 3 + 31 + -5x + -2x = 25 + -1(4x + -4) + -1(5x + -3) Combine like terms: 40 + 3 = 43 43 + 31 + -5x + -2x = 25 + -1(4x + -4) + -1(5x + -3) Combine like terms: 43 + 31 = 74 74 + -5x + -2x = 25 + -1(4x + -4) + -1(5x + -3) Combine like terms: -5x + -2x = -7x 74 + -7x = 25 + -1(4x + -4) + -1(5x + -3) Reorder the terms: 74 + -7x = 25 + -1(-4 + 4x) + -1(5x + -3) 74 + -7x = 25 + (-4 * -1 + 4x * -1) + -1(5x + -3) 74 + -7x = 25 + (4 + -4x) + -1(5x + -3) Reorder the terms: 74 + -7x = 25 + 4 + -4x + -1(-3 + 5x) 74 + -7x = 25 + 4 + -4x + (-3 * -1 + 5x * -1) 74 + -7x = 25 + 4 + -4x + (3 + -5x) Reorder the terms: 74 + -7x = 25 + 4 + 3 + -4x + -5x Combine like terms: 25 + 4 = 29 74 + -7x = 29 + 3 + -4x + -5x Combine like terms: 29 + 3 = 32 74 + -7x = 32 + -4x + -5x Combine like terms: -4x + -5x = -9x 74 + -7x = 32 + -9x Solving 74 + -7x = 32 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 74 + -7x + 9x = 32 + -9x + 9x Combine like terms: -7x + 9x = 2x 74 + 2x = 32 + -9x + 9x Combine like terms: -9x + 9x = 0 74 + 2x = 32 + 0 74 + 2x = 32 Add '-74' to each side of the equation. 74 + -74 + 2x = 32 + -74 Combine like terms: 74 + -74 = 0 0 + 2x = 32 + -74 2x = 32 + -74 Combine like terms: 32 + -74 = -42 2x = -42 Divide each side by '2'. x = -21 Simplifying x = -21
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