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Simplifying 2(x + 7) + 23 = 9 + -3(x + -1) Reorder the terms: 2(7 + x) + 23 = 9 + -3(x + -1) (7 * 2 + x * 2) + 23 = 9 + -3(x + -1) (14 + 2x) + 23 = 9 + -3(x + -1) Reorder the terms: 14 + 23 + 2x = 9 + -3(x + -1) Combine like terms: 14 + 23 = 37 37 + 2x = 9 + -3(x + -1) Reorder the terms: 37 + 2x = 9 + -3(-1 + x) 37 + 2x = 9 + (-1 * -3 + x * -3) 37 + 2x = 9 + (3 + -3x) Combine like terms: 9 + 3 = 12 37 + 2x = 12 + -3x Solving 37 + 2x = 12 + -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. 37 + 2x + 3x = 12 + -3x + 3x Combine like terms: 2x + 3x = 5x 37 + 5x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 37 + 5x = 12 + 0 37 + 5x = 12 Add '-37' to each side of the equation. 37 + -37 + 5x = 12 + -37 Combine like terms: 37 + -37 = 0 0 + 5x = 12 + -37 5x = 12 + -37 Combine like terms: 12 + -37 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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