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Simplifying 3(x + 6) + 4 = 17 + -2x Reorder the terms: 3(6 + x) + 4 = 17 + -2x (6 * 3 + x * 3) + 4 = 17 + -2x (18 + 3x) + 4 = 17 + -2x Reorder the terms: 18 + 4 + 3x = 17 + -2x Combine like terms: 18 + 4 = 22 22 + 3x = 17 + -2x Solving 22 + 3x = 17 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 22 + 3x + 2x = 17 + -2x + 2x Combine like terms: 3x + 2x = 5x 22 + 5x = 17 + -2x + 2x Combine like terms: -2x + 2x = 0 22 + 5x = 17 + 0 22 + 5x = 17 Add '-22' to each side of the equation. 22 + -22 + 5x = 17 + -22 Combine like terms: 22 + -22 = 0 0 + 5x = 17 + -22 5x = 17 + -22 Combine like terms: 17 + -22 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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