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Simplifying 3x + 12 = -5x + 42 Reorder the terms: 12 + 3x = -5x + 42 Reorder the terms: 12 + 3x = 42 + -5x Solving 12 + 3x = 42 + -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. 12 + 3x + 5x = 42 + -5x + 5x Combine like terms: 3x + 5x = 8x 12 + 8x = 42 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + 8x = 42 + 0 12 + 8x = 42 Add '-12' to each side of the equation. 12 + -12 + 8x = 42 + -12 Combine like terms: 12 + -12 = 0 0 + 8x = 42 + -12 8x = 42 + -12 Combine like terms: 42 + -12 = 30 8x = 30 Divide each side by '8'. x = 3.75 Simplifying x = 3.75
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