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Simplifying 23 + 5(x + 2) = 3(x + -1) Reorder the terms: 23 + 5(2 + x) = 3(x + -1) 23 + (2 * 5 + x * 5) = 3(x + -1) 23 + (10 + 5x) = 3(x + -1) Combine like terms: 23 + 10 = 33 33 + 5x = 3(x + -1) Reorder the terms: 33 + 5x = 3(-1 + x) 33 + 5x = (-1 * 3 + x * 3) 33 + 5x = (-3 + 3x) Solving 33 + 5x = -3 + 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. 33 + 5x + -3x = -3 + 3x + -3x Combine like terms: 5x + -3x = 2x 33 + 2x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 33 + 2x = -3 + 0 33 + 2x = -3 Add '-33' to each side of the equation. 33 + -33 + 2x = -3 + -33 Combine like terms: 33 + -33 = 0 0 + 2x = -3 + -33 2x = -3 + -33 Combine like terms: -3 + -33 = -36 2x = -36 Divide each side by '2'. x = -18 Simplifying x = -18
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