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Simplifying 6x + 12 + 2x + 5 = 3x + 62 Reorder the terms: 12 + 5 + 6x + 2x = 3x + 62 Combine like terms: 12 + 5 = 17 17 + 6x + 2x = 3x + 62 Combine like terms: 6x + 2x = 8x 17 + 8x = 3x + 62 Reorder the terms: 17 + 8x = 62 + 3x Solving 17 + 8x = 62 + 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. 17 + 8x + -3x = 62 + 3x + -3x Combine like terms: 8x + -3x = 5x 17 + 5x = 62 + 3x + -3x Combine like terms: 3x + -3x = 0 17 + 5x = 62 + 0 17 + 5x = 62 Add '-17' to each side of the equation. 17 + -17 + 5x = 62 + -17 Combine like terms: 17 + -17 = 0 0 + 5x = 62 + -17 5x = 62 + -17 Combine like terms: 62 + -17 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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