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Simplifying 71 + (-5x + (-2 + 3)) = 25 + -1(-3x + 4) + -1(4x + 3) Combine like terms: -2 + 3 = 1 71 + (-5x + (1)) = 25 + -1(-3x + 4) + -1(4x + 3) 71 + (-5x + 1) = 25 + -1(-3x + 4) + -1(4x + 3) Reorder the terms: 71 + (1 + -5x) = 25 + -1(-3x + 4) + -1(4x + 3) Remove parenthesis around (1 + -5x) 71 + 1 + -5x = 25 + -1(-3x + 4) + -1(4x + 3) Combine like terms: 71 + 1 = 72 72 + -5x = 25 + -1(-3x + 4) + -1(4x + 3) Reorder the terms: 72 + -5x = 25 + -1(4 + -3x) + -1(4x + 3) 72 + -5x = 25 + (4 * -1 + -3x * -1) + -1(4x + 3) 72 + -5x = 25 + (-4 + 3x) + -1(4x + 3) Reorder the terms: 72 + -5x = 25 + -4 + 3x + -1(3 + 4x) 72 + -5x = 25 + -4 + 3x + (3 * -1 + 4x * -1) 72 + -5x = 25 + -4 + 3x + (-3 + -4x) Reorder the terms: 72 + -5x = 25 + -4 + -3 + 3x + -4x Combine like terms: 25 + -4 = 21 72 + -5x = 21 + -3 + 3x + -4x Combine like terms: 21 + -3 = 18 72 + -5x = 18 + 3x + -4x Combine like terms: 3x + -4x = -1x 72 + -5x = 18 + -1x Solving 72 + -5x = 18 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 72 + -5x + x = 18 + -1x + x Combine like terms: -5x + x = -4x 72 + -4x = 18 + -1x + x Combine like terms: -1x + x = 0 72 + -4x = 18 + 0 72 + -4x = 18 Add '-72' to each side of the equation. 72 + -72 + -4x = 18 + -72 Combine like terms: 72 + -72 = 0 0 + -4x = 18 + -72 -4x = 18 + -72 Combine like terms: 18 + -72 = -54 -4x = -54 Divide each side by '-4'. x = 13.5 Simplifying x = 13.5
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