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Simplifying x + (x + 1) = 122 + -3(x + 2) Reorder the terms: x + (1 + x) = 122 + -3(x + 2) Remove parenthesis around (1 + x) x + 1 + x = 122 + -3(x + 2) Reorder the terms: 1 + x + x = 122 + -3(x + 2) Combine like terms: x + x = 2x 1 + 2x = 122 + -3(x + 2) Reorder the terms: 1 + 2x = 122 + -3(2 + x) 1 + 2x = 122 + (2 * -3 + x * -3) 1 + 2x = 122 + (-6 + -3x) Combine like terms: 122 + -6 = 116 1 + 2x = 116 + -3x Solving 1 + 2x = 116 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 1 + 2x + 3x = 116 + -3x + 3x Combine like terms: 2x + 3x = 5x 1 + 5x = 116 + -3x + 3x Combine like terms: -3x + 3x = 0 1 + 5x = 116 + 0 1 + 5x = 116 Add '-1' to each side of the equation. 1 + -1 + 5x = 116 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 116 + -1 5x = 116 + -1 Combine like terms: 116 + -1 = 115 5x = 115 Divide each side by '5'. x = 23 Simplifying x = 23
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