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Simplifying (2x + 3) + (x + -7) = 5x + -1(3x + -7) Reorder the terms: (3 + 2x) + (x + -7) = 5x + -1(3x + -7) Remove parenthesis around (3 + 2x) 3 + 2x + (x + -7) = 5x + -1(3x + -7) Reorder the terms: 3 + 2x + (-7 + x) = 5x + -1(3x + -7) Remove parenthesis around (-7 + x) 3 + 2x + -7 + x = 5x + -1(3x + -7) Reorder the terms: 3 + -7 + 2x + x = 5x + -1(3x + -7) Combine like terms: 3 + -7 = -4 -4 + 2x + x = 5x + -1(3x + -7) Combine like terms: 2x + x = 3x -4 + 3x = 5x + -1(3x + -7) Reorder the terms: -4 + 3x = 5x + -1(-7 + 3x) -4 + 3x = 5x + (-7 * -1 + 3x * -1) -4 + 3x = 5x + (7 + -3x) Reorder the terms: -4 + 3x = 7 + 5x + -3x Combine like terms: 5x + -3x = 2x -4 + 3x = 7 + 2x Solving -4 + 3x = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -4 + 3x + -2x = 7 + 2x + -2x Combine like terms: 3x + -2x = 1x -4 + 1x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + 1x = 7 + 0 -4 + 1x = 7 Add '4' to each side of the equation. -4 + 4 + 1x = 7 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = 7 + 4 1x = 7 + 4 Combine like terms: 7 + 4 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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