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Simplifying (2x + -2) + (3x + 2) + (22 + -1x) + (x + 1) = 58 Reorder the terms: (-2 + 2x) + (3x + 2) + (22 + -1x) + (x + 1) = 58 Remove parenthesis around (-2 + 2x) -2 + 2x + (3x + 2) + (22 + -1x) + (x + 1) = 58 Reorder the terms: -2 + 2x + (2 + 3x) + (22 + -1x) + (x + 1) = 58 Remove parenthesis around (2 + 3x) -2 + 2x + 2 + 3x + (22 + -1x) + (x + 1) = 58 Remove parenthesis around (22 + -1x) -2 + 2x + 2 + 3x + 22 + -1x + (x + 1) = 58 Reorder the terms: -2 + 2x + 2 + 3x + 22 + -1x + (1 + x) = 58 Remove parenthesis around (1 + x) -2 + 2x + 2 + 3x + 22 + -1x + 1 + x = 58 Reorder the terms: -2 + 2 + 22 + 1 + 2x + 3x + -1x + x = 58 Combine like terms: -2 + 2 = 0 0 + 22 + 1 + 2x + 3x + -1x + x = 58 22 + 1 + 2x + 3x + -1x + x = 58 Combine like terms: 22 + 1 = 23 23 + 2x + 3x + -1x + x = 58 Combine like terms: 2x + 3x = 5x 23 + 5x + -1x + x = 58 Combine like terms: 5x + -1x = 4x 23 + 4x + x = 58 Combine like terms: 4x + x = 5x 23 + 5x = 58 Solving 23 + 5x = 58 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 5x = 58 + -23 Combine like terms: 23 + -23 = 0 0 + 5x = 58 + -23 5x = 58 + -23 Combine like terms: 58 + -23 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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