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Simplifying 71 + (-1(3x + 4) + -1(4x + 3)) = 25 + -1(-5x + (-2x + 3)) Reorder the terms: 71 + (-1(4 + 3x) + -1(4x + 3)) = 25 + -1(-5x + (-2x + 3)) 71 + ((4 * -1 + 3x * -1) + -1(4x + 3)) = 25 + -1(-5x + (-2x + 3)) 71 + ((-4 + -3x) + -1(4x + 3)) = 25 + -1(-5x + (-2x + 3)) Reorder the terms: 71 + (-4 + -3x + -1(3 + 4x)) = 25 + -1(-5x + (-2x + 3)) 71 + (-4 + -3x + (3 * -1 + 4x * -1)) = 25 + -1(-5x + (-2x + 3)) 71 + (-4 + -3x + (-3 + -4x)) = 25 + -1(-5x + (-2x + 3)) Reorder the terms: 71 + (-4 + -3 + -3x + -4x) = 25 + -1(-5x + (-2x + 3)) Combine like terms: -4 + -3 = -7 71 + (-7 + -3x + -4x) = 25 + -1(-5x + (-2x + 3)) Combine like terms: -3x + -4x = -7x 71 + (-7 + -7x) = 25 + -1(-5x + (-2x + 3)) Remove parenthesis around (-7 + -7x) 71 + -7 + -7x = 25 + -1(-5x + (-2x + 3)) Combine like terms: 71 + -7 = 64 64 + -7x = 25 + -1(-5x + (-2x + 3)) Reorder the terms: 64 + -7x = 25 + -1(-5x + (3 + -2x)) Remove parenthesis around (3 + -2x) 64 + -7x = 25 + -1(-5x + 3 + -2x) Reorder the terms: 64 + -7x = 25 + -1(3 + -5x + -2x) Combine like terms: -5x + -2x = -7x 64 + -7x = 25 + -1(3 + -7x) 64 + -7x = 25 + (3 * -1 + -7x * -1) 64 + -7x = 25 + (-3 + 7x) Combine like terms: 25 + -3 = 22 64 + -7x = 22 + 7x Solving 64 + -7x = 22 + 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. 64 + -7x + -7x = 22 + 7x + -7x Combine like terms: -7x + -7x = -14x 64 + -14x = 22 + 7x + -7x Combine like terms: 7x + -7x = 0 64 + -14x = 22 + 0 64 + -14x = 22 Add '-64' to each side of the equation. 64 + -64 + -14x = 22 + -64 Combine like terms: 64 + -64 = 0 0 + -14x = 22 + -64 -14x = 22 + -64 Combine like terms: 22 + -64 = -42 -14x = -42 Divide each side by '-14'. x = 3 Simplifying x = 3
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