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Simplifying 3x + 12 = 12x + 19 + -5x + 15 Reorder the terms: 12 + 3x = 12x + 19 + -5x + 15 Reorder the terms: 12 + 3x = 19 + 15 + 12x + -5x Combine like terms: 19 + 15 = 34 12 + 3x = 34 + 12x + -5x Combine like terms: 12x + -5x = 7x 12 + 3x = 34 + 7x Solving 12 + 3x = 34 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 12 + 3x + -7x = 34 + 7x + -7x Combine like terms: 3x + -7x = -4x 12 + -4x = 34 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + -4x = 34 + 0 12 + -4x = 34 Add '-12' to each side of the equation. 12 + -12 + -4x = 34 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = 34 + -12 -4x = 34 + -12 Combine like terms: 34 + -12 = 22 -4x = 22 Divide each side by '-4'. x = -5.5 Simplifying x = -5.5
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