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Simplifying 5x + 12 = 2x + 17 Reorder the terms: 12 + 5x = 2x + 17 Reorder the terms: 12 + 5x = 17 + 2x Solving 12 + 5x = 17 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + 5x + -2x = 17 + 2x + -2x Combine like terms: 5x + -2x = 3x 12 + 3x = 17 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 3x = 17 + 0 12 + 3x = 17 Add '-12' to each side of the equation. 12 + -12 + 3x = 17 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 17 + -12 3x = 17 + -12 Combine like terms: 17 + -12 = 5 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667
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