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Simplifying (4x + 3) + -1(x + 7) = (8x + -7) + -1(7x + -3) Reorder the terms: (3 + 4x) + -1(x + 7) = (8x + -7) + -1(7x + -3) Remove parenthesis around (3 + 4x) 3 + 4x + -1(x + 7) = (8x + -7) + -1(7x + -3) Reorder the terms: 3 + 4x + -1(7 + x) = (8x + -7) + -1(7x + -3) 3 + 4x + (7 * -1 + x * -1) = (8x + -7) + -1(7x + -3) 3 + 4x + (-7 + -1x) = (8x + -7) + -1(7x + -3) Reorder the terms: 3 + -7 + 4x + -1x = (8x + -7) + -1(7x + -3) Combine like terms: 3 + -7 = -4 -4 + 4x + -1x = (8x + -7) + -1(7x + -3) Combine like terms: 4x + -1x = 3x -4 + 3x = (8x + -7) + -1(7x + -3) Reorder the terms: -4 + 3x = (-7 + 8x) + -1(7x + -3) Remove parenthesis around (-7 + 8x) -4 + 3x = -7 + 8x + -1(7x + -3) Reorder the terms: -4 + 3x = -7 + 8x + -1(-3 + 7x) -4 + 3x = -7 + 8x + (-3 * -1 + 7x * -1) -4 + 3x = -7 + 8x + (3 + -7x) Reorder the terms: -4 + 3x = -7 + 3 + 8x + -7x Combine like terms: -7 + 3 = -4 -4 + 3x = -4 + 8x + -7x Combine like terms: 8x + -7x = 1x -4 + 3x = -4 + 1x Add '4' to each side of the equation. -4 + 4 + 3x = -4 + 4 + 1x Combine like terms: -4 + 4 = 0 0 + 3x = -4 + 4 + 1x 3x = -4 + 4 + 1x Combine like terms: -4 + 4 = 0 3x = 0 + 1x 3x = 1x Solving 3x = 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3x + -1x = 1x + -1x Combine like terms: 3x + -1x = 2x 2x = 1x + -1x Combine like terms: 1x + -1x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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