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Simplifying 71 + (-5x + (-2x + 3)) = 25 + -1(-1(3x + 4) + -1(4x + 3)) Reorder the terms: 71 + (-5x + (3 + -2x)) = 25 + -1(-1(3x + 4) + -1(4x + 3)) Remove parenthesis around (3 + -2x) 71 + (-5x + 3 + -2x) = 25 + -1(-1(3x + 4) + -1(4x + 3)) Reorder the terms: 71 + (3 + -5x + -2x) = 25 + -1(-1(3x + 4) + -1(4x + 3)) Combine like terms: -5x + -2x = -7x 71 + (3 + -7x) = 25 + -1(-1(3x + 4) + -1(4x + 3)) Remove parenthesis around (3 + -7x) 71 + 3 + -7x = 25 + -1(-1(3x + 4) + -1(4x + 3)) Combine like terms: 71 + 3 = 74 74 + -7x = 25 + -1(-1(3x + 4) + -1(4x + 3)) Reorder the terms: 74 + -7x = 25 + -1(-1(4 + 3x) + -1(4x + 3)) 74 + -7x = 25 + -1((4 * -1 + 3x * -1) + -1(4x + 3)) 74 + -7x = 25 + -1((-4 + -3x) + -1(4x + 3)) Reorder the terms: 74 + -7x = 25 + -1(-4 + -3x + -1(3 + 4x)) 74 + -7x = 25 + -1(-4 + -3x + (3 * -1 + 4x * -1)) 74 + -7x = 25 + -1(-4 + -3x + (-3 + -4x)) Reorder the terms: 74 + -7x = 25 + -1(-4 + -3 + -3x + -4x) Combine like terms: -4 + -3 = -7 74 + -7x = 25 + -1(-7 + -3x + -4x) Combine like terms: -3x + -4x = -7x 74 + -7x = 25 + -1(-7 + -7x) 74 + -7x = 25 + (-7 * -1 + -7x * -1) 74 + -7x = 25 + (7 + 7x) Combine like terms: 25 + 7 = 32 74 + -7x = 32 + 7x Solving 74 + -7x = 32 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 74 + -7x + -7x = 32 + 7x + -7x Combine like terms: -7x + -7x = -14x 74 + -14x = 32 + 7x + -7x Combine like terms: 7x + -7x = 0 74 + -14x = 32 + 0 74 + -14x = 32 Add '-74' to each side of the equation. 74 + -74 + -14x = 32 + -74 Combine like terms: 74 + -74 = 0 0 + -14x = 32 + -74 -14x = 32 + -74 Combine like terms: 32 + -74 = -42 -14x = -42 Divide each side by '-14'. x = 3 Simplifying x = 3
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