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Simplifying (x + 3) + (4x + -7) = 2x + 11 Reorder the terms: (3 + x) + (4x + -7) = 2x + 11 Remove parenthesis around (3 + x) 3 + x + (4x + -7) = 2x + 11 Reorder the terms: 3 + x + (-7 + 4x) = 2x + 11 Remove parenthesis around (-7 + 4x) 3 + x + -7 + 4x = 2x + 11 Reorder the terms: 3 + -7 + x + 4x = 2x + 11 Combine like terms: 3 + -7 = -4 -4 + x + 4x = 2x + 11 Combine like terms: x + 4x = 5x -4 + 5x = 2x + 11 Reorder the terms: -4 + 5x = 11 + 2x Solving -4 + 5x = 11 + 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 + 5x + -2x = 11 + 2x + -2x Combine like terms: 5x + -2x = 3x -4 + 3x = 11 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + 3x = 11 + 0 -4 + 3x = 11 Add '4' to each side of the equation. -4 + 4 + 3x = 11 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 11 + 4 3x = 11 + 4 Combine like terms: 11 + 4 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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