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Simplifying (x + 4) + (x + 4) + (2x + -7) + (2x + -7) = 42 Reorder the terms: (4 + x) + (x + 4) + (2x + -7) + (2x + -7) = 42 Remove parenthesis around (4 + x) 4 + x + (x + 4) + (2x + -7) + (2x + -7) = 42 Reorder the terms: 4 + x + (4 + x) + (2x + -7) + (2x + -7) = 42 Remove parenthesis around (4 + x) 4 + x + 4 + x + (2x + -7) + (2x + -7) = 42 Reorder the terms: 4 + x + 4 + x + (-7 + 2x) + (2x + -7) = 42 Remove parenthesis around (-7 + 2x) 4 + x + 4 + x + -7 + 2x + (2x + -7) = 42 Reorder the terms: 4 + x + 4 + x + -7 + 2x + (-7 + 2x) = 42 Remove parenthesis around (-7 + 2x) 4 + x + 4 + x + -7 + 2x + -7 + 2x = 42 Reorder the terms: 4 + 4 + -7 + -7 + x + x + 2x + 2x = 42 Combine like terms: 4 + 4 = 8 8 + -7 + -7 + x + x + 2x + 2x = 42 Combine like terms: 8 + -7 = 1 1 + -7 + x + x + 2x + 2x = 42 Combine like terms: 1 + -7 = -6 -6 + x + x + 2x + 2x = 42 Combine like terms: x + x = 2x -6 + 2x + 2x + 2x = 42 Combine like terms: 2x + 2x = 4x -6 + 4x + 2x = 42 Combine like terms: 4x + 2x = 6x -6 + 6x = 42 Solving -6 + 6x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 6x = 42 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 42 + 6 6x = 42 + 6 Combine like terms: 42 + 6 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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