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Simplifying 2x + 10 = 3x + 6 + 17 Reorder the terms: 10 + 2x = 3x + 6 + 17 Reorder the terms: 10 + 2x = 6 + 17 + 3x Combine like terms: 6 + 17 = 23 10 + 2x = 23 + 3x Solving 10 + 2x = 23 + 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. 10 + 2x + -3x = 23 + 3x + -3x Combine like terms: 2x + -3x = -1x 10 + -1x = 23 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + -1x = 23 + 0 10 + -1x = 23 Add '-10' to each side of the equation. 10 + -10 + -1x = 23 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 23 + -10 -1x = 23 + -10 Combine like terms: 23 + -10 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13
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