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Simplifying 3x + 5 = 4x + 17 Reorder the terms: 5 + 3x = 4x + 17 Reorder the terms: 5 + 3x = 17 + 4x Solving 5 + 3x = 17 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5 + 3x + -4x = 17 + 4x + -4x Combine like terms: 3x + -4x = -1x 5 + -1x = 17 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + -1x = 17 + 0 5 + -1x = 17 Add '-5' to each side of the equation. 5 + -5 + -1x = 17 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 17 + -5 -1x = 17 + -5 Combine like terms: 17 + -5 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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