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Simplifying 3x + 6 + 2x + 23 = 6x + 17 Reorder the terms: 6 + 23 + 3x + 2x = 6x + 17 Combine like terms: 6 + 23 = 29 29 + 3x + 2x = 6x + 17 Combine like terms: 3x + 2x = 5x 29 + 5x = 6x + 17 Reorder the terms: 29 + 5x = 17 + 6x Solving 29 + 5x = 17 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 29 + 5x + -6x = 17 + 6x + -6x Combine like terms: 5x + -6x = -1x 29 + -1x = 17 + 6x + -6x Combine like terms: 6x + -6x = 0 29 + -1x = 17 + 0 29 + -1x = 17 Add '-29' to each side of the equation. 29 + -29 + -1x = 17 + -29 Combine like terms: 29 + -29 = 0 0 + -1x = 17 + -29 -1x = 17 + -29 Combine like terms: 17 + -29 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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