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Simplifying 3x + 100 = 5x + 112 Reorder the terms: 100 + 3x = 5x + 112 Reorder the terms: 100 + 3x = 112 + 5x Solving 100 + 3x = 112 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 100 + 3x + -5x = 112 + 5x + -5x Combine like terms: 3x + -5x = -2x 100 + -2x = 112 + 5x + -5x Combine like terms: 5x + -5x = 0 100 + -2x = 112 + 0 100 + -2x = 112 Add '-100' to each side of the equation. 100 + -100 + -2x = 112 + -100 Combine like terms: 100 + -100 = 0 0 + -2x = 112 + -100 -2x = 112 + -100 Combine like terms: 112 + -100 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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