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Simplifying (5x + -11) + (4x + -2) = (3x + 3) + (4x + -2) Reorder the terms: (-11 + 5x) + (4x + -2) = (3x + 3) + (4x + -2) Remove parenthesis around (-11 + 5x) -11 + 5x + (4x + -2) = (3x + 3) + (4x + -2) Reorder the terms: -11 + 5x + (-2 + 4x) = (3x + 3) + (4x + -2) Remove parenthesis around (-2 + 4x) -11 + 5x + -2 + 4x = (3x + 3) + (4x + -2) Reorder the terms: -11 + -2 + 5x + 4x = (3x + 3) + (4x + -2) Combine like terms: -11 + -2 = -13 -13 + 5x + 4x = (3x + 3) + (4x + -2) Combine like terms: 5x + 4x = 9x -13 + 9x = (3x + 3) + (4x + -2) Reorder the terms: -13 + 9x = (3 + 3x) + (4x + -2) Remove parenthesis around (3 + 3x) -13 + 9x = 3 + 3x + (4x + -2) Reorder the terms: -13 + 9x = 3 + 3x + (-2 + 4x) Remove parenthesis around (-2 + 4x) -13 + 9x = 3 + 3x + -2 + 4x Reorder the terms: -13 + 9x = 3 + -2 + 3x + 4x Combine like terms: 3 + -2 = 1 -13 + 9x = 1 + 3x + 4x Combine like terms: 3x + 4x = 7x -13 + 9x = 1 + 7x Solving -13 + 9x = 1 + 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. -13 + 9x + -7x = 1 + 7x + -7x Combine like terms: 9x + -7x = 2x -13 + 2x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 -13 + 2x = 1 + 0 -13 + 2x = 1 Add '13' to each side of the equation. -13 + 13 + 2x = 1 + 13 Combine like terms: -13 + 13 = 0 0 + 2x = 1 + 13 2x = 1 + 13 Combine like terms: 1 + 13 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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