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Simplifying (2x + -7) + (2x + -13) = x + 49 Reorder the terms: (-7 + 2x) + (2x + -13) = x + 49 Remove parenthesis around (-7 + 2x) -7 + 2x + (2x + -13) = x + 49 Reorder the terms: -7 + 2x + (-13 + 2x) = x + 49 Remove parenthesis around (-13 + 2x) -7 + 2x + -13 + 2x = x + 49 Reorder the terms: -7 + -13 + 2x + 2x = x + 49 Combine like terms: -7 + -13 = -20 -20 + 2x + 2x = x + 49 Combine like terms: 2x + 2x = 4x -20 + 4x = x + 49 Reorder the terms: -20 + 4x = 49 + x Solving -20 + 4x = 49 + x 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. -20 + 4x + -1x = 49 + x + -1x Combine like terms: 4x + -1x = 3x -20 + 3x = 49 + x + -1x Combine like terms: x + -1x = 0 -20 + 3x = 49 + 0 -20 + 3x = 49 Add '20' to each side of the equation. -20 + 20 + 3x = 49 + 20 Combine like terms: -20 + 20 = 0 0 + 3x = 49 + 20 3x = 49 + 20 Combine like terms: 49 + 20 = 69 3x = 69 Divide each side by '3'. x = 23 Simplifying x = 23
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