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Simplifying x + 3x + 17 = 6x + 5 Reorder the terms: 17 + x + 3x = 6x + 5 Combine like terms: x + 3x = 4x 17 + 4x = 6x + 5 Reorder the terms: 17 + 4x = 5 + 6x Solving 17 + 4x = 5 + 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. 17 + 4x + -6x = 5 + 6x + -6x Combine like terms: 4x + -6x = -2x 17 + -2x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 17 + -2x = 5 + 0 17 + -2x = 5 Add '-17' to each side of the equation. 17 + -17 + -2x = 5 + -17 Combine like terms: 17 + -17 = 0 0 + -2x = 5 + -17 -2x = 5 + -17 Combine like terms: 5 + -17 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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