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Simplifying 6x + 7 + 3(7 + -1x) + 2x = 23 6x + 7 + (7 * 3 + -1x * 3) + 2x = 23 6x + 7 + (21 + -3x) + 2x = 23 Reorder the terms: 7 + 21 + 6x + -3x + 2x = 23 Combine like terms: 7 + 21 = 28 28 + 6x + -3x + 2x = 23 Combine like terms: 6x + -3x = 3x 28 + 3x + 2x = 23 Combine like terms: 3x + 2x = 5x 28 + 5x = 23 Solving 28 + 5x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 5x = 23 + -28 Combine like terms: 28 + -28 = 0 0 + 5x = 23 + -28 5x = 23 + -28 Combine like terms: 23 + -28 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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