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Simplifying 3x + 13 + 2x + 17 = 6x + 12 Reorder the terms: 13 + 17 + 3x + 2x = 6x + 12 Combine like terms: 13 + 17 = 30 30 + 3x + 2x = 6x + 12 Combine like terms: 3x + 2x = 5x 30 + 5x = 6x + 12 Reorder the terms: 30 + 5x = 12 + 6x Solving 30 + 5x = 12 + 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. 30 + 5x + -6x = 12 + 6x + -6x Combine like terms: 5x + -6x = -1x 30 + -1x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 30 + -1x = 12 + 0 30 + -1x = 12 Add '-30' to each side of the equation. 30 + -30 + -1x = 12 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = 12 + -30 -1x = 12 + -30 Combine like terms: 12 + -30 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18
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